# Quiz 19: Linear Programming

Statistics

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Q 4Q 4

Profit maximization could be an objective of an LP problem; but cost minimization cannot be the objective of an LP problem.

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Q 8Q 8

Graphical linear programming can handle problems that involve any number of decision variables.

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Q 11Q 11

The feasible solution space is the set of all feasible combinations of decision variables as defined by only binding constraints.

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Q 15Q 15

If a single optimal solution exists to a graphical LP problem, it will exist at a corner point.

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Q 16Q 16

The simplex method is a general-purpose LP algorithm that can be used for solving only problems with more than six variables.

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Q 17Q 17

A change in the value of an objective function coefficient does not change the optimal solution.

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Q 19Q 19

A shadow price indicates how much a one-unit decrease/increase in the right-hand-side value of a constraint will decrease/increase the optimal value of the objective function.

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Q 23Q 23

Every change in the value of an objective function coefficient will lead to changes in the optimal solution.

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Q 24Q 24

Nonbinding constraints are not associated with the feasible solution space; i.e., they are redundant and can be eliminated from the matrix.

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Q 25Q 25

When a change in the value of an objective function coefficient remains within the range of optimality, the optimal solution also remains the same.

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True False

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Q 27Q 27

Which of the following is not a component of the structure of a linear programming model?
A)constraints
B)decision variables
C)parameters
D)a goal or objective
E)environmental uncertainty

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Multiple Choice

Q 28Q 28

Coordinates of all corner points are substituted into the objective function when we use the approach called
A)least squares.
B)regression.
C)enumeration.
D)graphical linear programming.
E)constraint assignment.

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Multiple Choice

Q 29Q 29

Which of the following could not be a linear programming problem constraint?
A)1 A + 2 B ≤ 3
B)1 A + 2 B ≥ 3
C)1 A + 2 B = 3
D)1 A + 2 B + 3 C + 4 D ≤ 5
E)1 A + 2 B

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Multiple Choice

Q 30Q 30

For the products A, B, C, and D, which of the following could be a linear programming objective function?
A)Z = 1 A + 2 B + 3 C + 4 D
B)Z = 1 A + 2 BC + 3 D
C)Z = 1 A + 2 AB + 3 ABC + 4 ABCD
D)Z = 1 A + 2 B ÷ C + 3 D
E)Z = 1 A + 2 B − 1 CD

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Multiple Choice

Q 31Q 31

The logical approach, from beginning to end, for assembling a linear programming model begins with
A)identifying the decision variables.
B)identifying the objective function.
C)specifying the objective function parameters.
D)identifying the constraints.
E)specifying the constraint parameters.

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Multiple Choice

Q 32Q 32

The region which satisfies all of the constraints in graphical linear programming is called the
A)optimum solution space.
B)region of optimality.
C)lower left hand quadrant.
D)region of non-negativity.
E)feasible solution space.

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Multiple Choice

Q 33Q 33

In graphical linear programming to maximize profit, the objective function is:
(I)a family of parallel lines.(II)a family of isoprofit lines.(III)interpolated.(IV)linear.
A)I only
B)II only
C)III and IV only
D)I, II, and IV only
E)I, II, III, and IV

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Multiple Choice

Q 34Q 34

Which objective function has the same slope as this one: $4 x + $2 y = $20?
A)$4 x + $2 y = $10
B)$2 x + $4 y = $20
C)$2 x − $4 y = $20
D)$4 x − $2 y = $20
E)$8 x + $8 y = $20

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Multiple Choice

Q 35Q 35

For a linear programming problem with the following constraints, which point is in the feasible solution space assuming this is a maximization problem?
A)x = 1, y = 5
B)x = −1, y = 1
C)x = 4, y = 4
D)x = 2, y = 1
E)x = 2, y = 8

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Multiple Choice

Q 36Q 36

Which of the following choices constitutes a simultaneous solution to these equations?
A)x = 2, y = .5
B)x = 4, y = −.5
C)x = 2, y = 1
D)x = y
E)y = 2 x

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Multiple Choice

Q 37Q 37

Which of the following choices constitutes a simultaneous solution to these equations?
A)x = 1, y = 1.5
B)x = .5, y = 2
C)x = 0, y = 3
D)x = 2, y = 0
E)x = 0, y = 0

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Multiple Choice

Q 38Q 38

What combination of x and y will yield the optimum for this problem?
A)x = 2, y = 0
B)x = 0, y = 0
C)x = 0, y = 3
D)x = 1, y = 2.5
E)x = 0, y = 4

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Multiple Choice

Q 39Q 39

In graphical linear programming, when the objective function is parallel to one of the binding constraints, then
A)the solution is suboptimal.
B)multiple optimal solutions exist.
C)a single corner point solution exists.
D)no feasible solution exists.
E)the constraint must be changed or eliminated.

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Multiple Choice

Q 40Q 40

For the constraints given below, which point is in the feasible solution space of this minimization problem?
A)x = .5, y = 5
B)x = 0, y = 4
C)x = 2, y = 5
D)x = 1, y = 2
E)x = 2, y = 1

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Multiple Choice

Q 41Q 41

What combination of x and y will provide a minimum for this problem?
A)x = 0, y = 0
B)x = 0, y = 3
C)x = 0, y = 5
D)x = 1, y = 2.5
E)x = 6, y = 0

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Multiple Choice

Q 42Q 42

The theoretical limit on the number of decision variables that can be handled by the simplex method in a single problem is
A)1.
B)2.
C)3.
D)4.
E)unlimited.

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Multiple Choice

Q 43Q 43

The theoretical limit on the number of constraints that can be handled by the simplex method in a single problem is
A)1.
B)2.
C)3.
D)4.
E)unlimited.

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Multiple Choice

Q 44Q 44

A shadow price reflects which of the following in a maximization problem?
A)marginal cost of adding additional resources
B)marginal gain in the objective that would be realized by adding one unit of a resource
C)net gain in the objective that would be realized by increasing an objective function coefficient
D)marginal gain in the objective that would be realized by subtracting one unit of a resource
E)expected value of perfect information

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Multiple Choice

Q 45Q 45

In linear programming, a nonzero reduced cost is associated with a
A)decision variable in the solution.
B)decision variable not in the solution.
C)constraint for which there is slack.
D)constraint for which there is surplus.
E)constraint for which there is no slack or surplus.

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Multiple Choice

Q 46Q 46

A constraint that does not form a unique boundary of the feasible solution space is a
A)redundant constraint.
B)binding constraint.
C)nonbinding constraint.
D)feasible solution constraint.
E)constraint that equals zero.

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Multiple Choice

Q 47Q 47

In linear programming, sensitivity analysis is associated with:
(I)the objective function coefficient.(II)right-hand-side values of constraints.(III)the constraint coefficient.
A)I and II only
B)II and III only
C)I, II, and III
D)I and III only
E)I only

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Multiple Choice

Q 48Q 48

In a linear programming problem, the objective function was specified as follows:
Z = 2 A + 4 B + 3 C
The optimal solution calls for A to equal 4, B to equal 6, and C to equal 3. It has also been determined that the coefficient associated with A can range from 1.75 to 2.25 without the optimal solution changing. This range is called A's
A)range of optimality.
B)range of feasibility.
C)shadow price.
D)slack.
E)surplus.

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Multiple Choice

Q 49Q 49

An analyst, having solved a linear programming problem, determined that he had 10 more units of resource Q than previously believed. Upon modifying his program, he observed that the list of basic variables did not change, but the value of the objective function increased by $30. This means that resource's Q's shadow price was
A)$1.50.
B)$3.00.
C)$6.00.
D)$15.00.
E)$30.00.

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Multiple Choice

Q 50Q 50

In the graphical approach to linear programming, finding values for the decision variables at the intersection of corners requires the solving of
A)linear constraints.
B)surplus variables.
C)slack variables.
D)simultaneous equations.
E)binding constraints.

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Multiple Choice

Q 51Q 51

A redundant constraint is one that
A)is parallel to the objective function.
B)has no coefficient for at least one decision variable.
C)has a zero coefficient for at least one decision variable.
D)has multiple coefficients for at least one decision variable.
E)does not form a unique boundary of the feasible solution space.

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Multiple Choice

Q 52Q 52

The production planner for Fine Coffees, Inc., produces two coffee blends: American (A)and British (B). Two of his resources are constrained: Columbia beans, of which he can get at most 300 pounds (4,800 ounces)per week; and Dominican beans, of which he can get at most 200 pounds (3,200 ounces)per week. Each pound of American blend coffee requires 12 ounces of Colombian beans and 4 ounces of Dominican beans, while a pound of British blend coffee uses 8 ounces of each type of bean. Profits for the American blend are $2.00 per pound, and profits for the British blend are $1.00 per pound.
What is the objective function?
A)$1 A + $2 B = Z
B)$12 A + $8 B = Z
C)$2 A + $1 B = Z
D)$8 A + $12 B = Z
E)$4 A + $8 B = Z

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Multiple Choice

Q 53Q 53

The production planner for Fine Coffees, Inc., produces two coffee blends: American (A)and British (B). Two of his resources are constrained: Columbia beans, of which he can get at most 300 pounds (4,800 ounces)per week; and Dominican beans, of which he can get at most 200 pounds (3,200 ounces)per week. Each pound of American blend coffee requires 12 ounces of Colombian beans and 4 ounces of Dominican beans, while a pound of British blend coffee uses 8 ounces of each type of bean. Profits for the American blend are $2.00 per pound, and profits for the British blend are $1.00 per pound. What is the Columbia bean constraint?
A)1 A + 2 B ≤ 4,800
B)12 A + 8 B ≤ 4,800
C)2 A + 1 B ≤ 4,800
D)8 A + 12 B ≤ 4,800
E)4 A + 8 B ≤ 4,800

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Multiple Choice

Q 54Q 54

The production planner for Fine Coffees, Inc., produces two coffee blends: American (A)and British (B). Two of his resources are constrained: Columbia beans, of which he can get at most 300 pounds (4,800 ounces)per week; and Dominican beans, of which he can get at most 200 pounds (3,200 ounces)per week. Each pound of American blend coffee requires 12 ounces of Colombian beans and 4 ounces of Dominican beans, while a pound of British blend coffee uses 8 ounces of each type of bean. Profits for the American blend are $2.00 per pound, and profits for the British blend are $1.00 per pound. What is the Dominican bean constraint?
A)12 A + 8 B ≤ 4,800
B)8 A + 12 B ≤ 4,800
C)4 A + 8 B ≤ 3,200
D)8 A + 4 B ≤ 3,200
E)4 A + 8 B ≤ 4,800

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Multiple Choice

Q 55Q 55

The production planner for Fine Coffees, Inc., produces two coffee blends: American (A)and British (B). Two of his resources are constrained: Columbia beans, of which he can get at most 300 pounds (4,800 ounces)per week; and Dominican beans, of which he can get at most 200 pounds (3,200 ounces)per week. Each pound of American blend coffee requires 12 ounces of Colombian beans and 4 ounces of Dominican beans, while a pound of British blend coffee uses 8 ounces of each type of bean. Profits for the American blend are $2.00 per pound, and profits for the British blend are $1.00 per pound. Which of the following is not a feasible production combination?
A)0 A and 0 B
B)0 A and 400 B
C)200 A and 300 B
D)400 A and 0 B
E)400 A and 400 B

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Multiple Choice

Q 56Q 56

The production planner for Fine Coffees, Inc., produces two coffee blends: American (A)and British (B). Two of his resources are constrained: Columbia beans, of which he can get at most 300 pounds (4,800 ounces)per week; and Dominican beans, of which he can get at most 200 pounds (3,200 ounces)per week. Each pound of American blend coffee requires 12 ounces of Colombian beans and 4 ounces of Dominican beans, while a pound of British blend coffee uses 8 ounces of each type of bean. Profits for the American blend are $2.00 per pound, and profits for the British blend are $1.00 per pound. What are optimal weekly profits?
A)$0
B)$400
C)$700
D)$800
E)$900

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Multiple Choice

Q 57Q 57

The production planner for Fine Coffees, Inc., produces two coffee blends: American (A)and British (B). Two of his resources are constrained: Columbia beans, of which he can get at most 300 pounds (4,800 ounces)per week; and Dominican beans, of which he can get at most 200 pounds (3,200 ounces)per week. Each pound of American blend coffee requires 12 ounces of Colombian beans and 4 ounces of Dominican beans, while a pound of British blend coffee uses 8 ounces of each type of bean. Profits for the American blend are $2.00 per pound, and profits for the British blend are $1.00 per pound. For the production combination of 0 American and 400 British, which resource is "slack" (not fully used)?
A)Colombian beans (only)
B)Dominican beans (only)
C)both Colombian beans and Dominican beans
D)neither Colombian beans nor Dominican beans
E)cannot be determined exactly

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Multiple Choice

Q 58Q 58

The operations manager for the Blue Moon Brewing Co. produces two beers: Lite (L)and Dark (D). Two of his resources are constrained: production time, which is limited to 8 hours (480 minutes)per day; and malt extract (one of his ingredients), of which he can get only 675 gallons each day. To produce a keg of Lite beer requires 2 minutes of time and 5 gallons of malt extract, while each keg of Dark beer needs 4 minutes of time and 3 gallons of malt extract. Profits for Lite beer are $3.00 per keg, and profits for Dark beer are $2.00 per keg. What is the objective function?
A)$2 L + $3 D = Z
B)$2 L + $4 D = Z
C)$3 L + $2 D = Z
D)$4 L + $2 D = Z
E)$5 L + $3 D = Z

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Multiple Choice

Q 59Q 59

The operations manager for the Blue Moon Brewing Co. produces two beers: Lite (L)and Dark (D). Two of his resources are constrained: production time, which is limited to 8 hours (480 minutes)per day; and malt extract (one of his ingredients), of which he can get only 675 gallons each day. To produce a keg of Lite beer requires 2 minutes of time and 5 gallons of malt extract, while each keg of Dark beer needs 4 minutes of time and 3 gallons of malt extract. Profits for Lite beer are $3.00 per keg, and profits for Dark beer are $2.00 per keg. What is the time constraint?
A)2 L + 3 D ≤ 480
B)2 L + 4 D ≤ 480
C)3 L + 2 D ≤ 480
D)4 L + 2 D ≤ 480
E)5 L + 3 D ≤ 480

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Multiple Choice

Q 60Q 60

The operations manager for the Blue Moon Brewing Co. produces two beers: Lite (L)and Dark (D). Two of his resources are constrained: production time, which is limited to 8 hours (480 minutes)per day; and malt extract (one of his ingredients), of which he can get only 675 gallons each day. To produce a keg of Lite beer requires 2 minutes of time and 5 gallons of malt extract, while each keg of Dark beer needs 4 minutes of time and 3 gallons of malt extract. Profits for Lite beer are $3.00 per keg, and profits for Dark beer are $2.00 per keg.
Which of the following is not a feasible production combination?
A)0 L and 0 D
B)0 L and 120 D
C)90 L and 75 D
D)135 L and 0 D
E)135 L and 120 D

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Multiple Choice

Q 61Q 61

The operations manager for the Blue Moon Brewing Co. produces two beers: Lite (L)and Dark (D). Two of his resources are constrained: production time, which is limited to 8 hours (480 minutes)per day; and malt extract (one of his ingredients), of which he can get only 675 gallons each day. To produce a keg of Lite beer requires 2 minutes of time and 5 gallons of malt extract, while each keg of Dark beer needs 4 minutes of time and 3 gallons of malt extract. Profits for Lite beer are $3.00 per keg, and profits for Dark beer are $2.00 per keg.
What are optimal daily profits?
A)$0
B)$240
C)$420
D)$405
E)$505

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Multiple Choice

Q 62Q 62

The operations manager for the Blue Moon Brewing Co. produces two beers: Lite (L)and Dark (D). Two of his resources are constrained: production time, which is limited to 8 hours (480 minutes)per day; and malt extract (one of his ingredients), of which he can get only 675 gallons each day. To produce a keg of Lite beer requires 2 minutes of time and 5 gallons of malt extract, while each keg of Dark beer needs 4 minutes of time and 3 gallons of malt extract. Profits for Lite beer are $3.00 per keg, and profits for Dark beer are $2.00 per keg.
For the production combination of 135 Lite and 0 Dark, which resource is slack (not fully used)?
A)time (only)
B)malt extract (only)
C)both time and malt extract
D)neither time nor malt extract
E)cannot be determined exactly

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Multiple Choice

Q 63Q 63

The production planner for a private label soft drink maker is planning the production of two soft drinks: root beer (R)and sassafras soda (S). Two resources are constrained: production time (T), of which she has at most 12 hours per day; and carbonated water (W), of which she can get at most 1,500 gallons per day. A case of root beer requires 2 minutes of time and 5 gallons of water to produce, while a case of sassafras soda requires 3 minutes of time and 5 gallons of water. Profits for the root beer are $6.00 per case, and profits for the sassafras soda are $4.00 per case. What is the objective function?
A)$4 R + $6 S = Z
B)$2 R + $3 S = Z
C)$6 R + $4 S = Z
D)$3 R + $2 S = Z
E)$5 R + $5 S = Z

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Multiple Choice

Q 64Q 64

The production planner for a private label soft drink maker is planning the production of two soft drinks: root beer (R)and sassafras soda (S). Two resources are constrained: production time (T), of which she has at most 12 hours per day; and carbonated water (W), of which she can get at most 1,500 gallons per day. A case of root beer requires 2 minutes of time and 5 gallons of water to produce, while a case of sassafras soda requires 3 minutes of time and 5 gallons of water. Profits for the root beer are $6.00 per case, and profits for the sassafras soda are $4.00 per case. What is the production time constraint (in minutes)?
A)2 R + 3 S ≤ 720
B)2 R + 5 S ≤ 720
C)3 R + 2 S ≤ 720
D)3 R + 5 S ≤ 720
E)5 R + 5 S ≤ 720

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Multiple Choice

Q 65Q 65

The production planner for a private label soft drink maker is planning the production of two soft drinks: root beer (R)and sassafras soda (S). Two resources are constrained: production time (T), of which she has at most 12 hours per day; and carbonated water (W), of which she can get at most 1,500 gallons per day. A case of root beer requires 2 minutes of time and 5 gallons of water to produce, while a case of sassafras soda requires 3 minutes of time and 5 gallons of water. Profits for the root beer are $6.00 per case, and profits for the sassafras soda are $4.00 per case. Which of the following is not a feasible production combination?
A)0 R and 0 S
B)0 R and 240 S
C)180 R and 120 S
D)300 R and 0 S
E)180 R and 240 S

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Multiple Choice

Q 66Q 66

The production planner for a private label soft drink maker is planning the production of two soft drinks: root beer (R)and sassafras soda (S). Two resources are constrained: production time (T), of which she has at most 12 hours per day; and carbonated water (W), of which she can get at most 1,500 gallons per day. A case of root beer requires 2 minutes of time and 5 gallons of water to produce, while a case of sassafras soda requires 3 minutes of time and 5 gallons of water. Profits for the root beer are $6.00 per case, and profits for the sassafras soda are $4.00 per case. What are optimal daily profits?
A)$960
B)$1,560
C)$1,800
D)$1,900
E)$2,520

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Multiple Choice

Q 67Q 67

The production planner for a private label soft drink maker is planning the production of two soft drinks: root beer (R)and sassafras soda (S). Two resources are constrained: production time (T), of which she has at most 12 hours per day; and carbonated water (W), of which she can get at most 1,500 gallons per day. A case of root beer requires 2 minutes of time and 5 gallons of water to produce, while a case of sassafras soda requires 3 minutes of time and 5 gallons of water. Profits for the root beer are $6.00 per case, and profits for the sassafras soda are $4.00 per case. For the production combination of 180 root beer and 0 sassafras soda, which resource is slack (not fully used)?
A)production time (only)
B)carbonated water (only)
C)both production time and carbonated water
D)neither production time nor carbonated water
E)cannot be determined exactly

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Multiple Choice

Q 68Q 68

An electronics firm produces two models of pocket calculators: the A-100 (A), which is an inexpensive four-function calculator, and the B-200 (B), which also features square root and percent functions. Each model uses one (the same)circuit board, of which there are only 2,500 available for this week's production. Also, the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators, of which the A-100 requires 15 minutes (.25 hours)each, and the B-200 requires 30 minutes (.5 hours)each to produce. The firm forecasts that it could sell a maximum of 4,000 A-100s this week and a maximum of 1,000 B-200s. Profits for the A-100 are $1.00 each, and profits for the B-200 are $4.00 each. What is the objective function?
A)$4.00 A + $1.00 B = Z
B)$.25 A + $1.00 B = Z
C)$1.00 A + $4.00 B = Z
D)$1.00 A + $1.00 B = Z
E)$.25 A + $.50 B = Z

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Multiple Choice

Q 69Q 69

An electronics firm produces two models of pocket calculators: the A-100 (A), which is an inexpensive four-function calculator, and the B-200 (B), which also features square root and percent functions. Each model uses one (the same)circuit board, of which there are only 2,500 available for this week's production. Also, the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators, of which the A-100 requires 15 minutes (.25 hours)each, and the B-200 requires 30 minutes (.5 hours)each to produce. The firm forecasts that it could sell a maximum of 4,000 A-100s this week and a maximum of 1,000 B-200s. Profits for the A-100 are $1.00 each, and profits for the B-200 are $4.00 each. What is the assembly time constraint (in hours)?
A)1 A + 1 B ≤ 800
B).25 A + .5 B ≤ 800
C).5 A + .25 B ≤ 800
D)1 A + .5 B ≤ 800
E).25 A + 1 B ≤ 800

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Multiple Choice

Q 70Q 70

An electronics firm produces two models of pocket calculators: the A-100 (A), which is an inexpensive four-function calculator, and the B-200 (B), which also features square root and percent functions. Each model uses one (the same)circuit board, of which there are only 2,500 available for this week's production. Also, the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators, of which the A-100 requires 15 minutes (.25 hours)each, and the B-200 requires 30 minutes (.5 hours)each to produce. The firm forecasts that it could sell a maximum of 4,000 A-100s this week and a maximum of 1,000 B-200s. Profits for the A-100 are $1.00 each, and profits for the B-200 are $4.00 each. Which of the following is not a feasible production/sales combination?
A)0 A and 0 B
B)0 A and 1,000 B
C)1,800 A and 700 B
D)2,500 A and 0 B
E)100 A and 1,600 B

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Multiple Choice

Q 71Q 71

An electronics firm produces two models of pocket calculators: the A-100 (A), which is an inexpensive four-function calculator, and the B-200 (B), which also features square root and percent functions. Each model uses one (the same)circuit board, of which there are only 2,500 available for this week's production. Also, the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators, of which the A-100 requires 15 minutes (.25 hours)each, and the B-200 requires 30 minutes (.5 hours)each to produce. The firm forecasts that it could sell a maximum of 4,000 A-100s this week and a maximum of 1,000 B-200s. Profits for the A-100 are $1.00 each, and profits for the B-200 are $4.00 each. What are optimal weekly profits?
A)$10,000
B)$4,600
C)$2,500
D)$5,200
E)$6,400

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Multiple Choice

Q 72Q 72

A local bagel shop produces two products: bagels (B)and croissants (C). Each bagel requires 6 ounces of flour, 1 gram of yeast, and 2 tablespoons of sugar. A croissant requires 3 ounces of flour, 1 gram of yeast, and 4 tablespoons of sugar. The company has 6,600 ounces of flour, 1,400 grams of yeast, and 4,800 tablespoons of sugar available for today's production run. Bagel profits are 20 cents each, and croissant profits are 30 cents each. What is the objective function?
A)$.30 B + $.20 C = Z
B)$.60 B + $.30 C = Z
C)$.20 B + $.30 C = Z
D)$.20 B + $.40 C = Z
E)$.10 B + $.10 C = Z

Free

Multiple Choice

Q 73Q 73

An electronics firm produces two models of pocket calculators: the A-100 (A), which is an inexpensive four-function calculator, and the B-200 (B), which also features square root and percent functions. Each model uses one (the same)circuit board, of which there are only 2,500 available for this week's production. Also, the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators, of which the A-100 requires 15 minutes (.25 hours)each, and the B-200 requires 30 minutes (.5 hours)each to produce. The firm forecasts that it could sell a maximum of 4,000 A-100s this week and a maximum of 1,000 B-200s. Profits for the A-100 are $1.00 each, and profits for the B-200 are $4.00 each. For the production combination of 1,400 A-100s and 900 B-200s, which resource is slack (not fully used)?
A)circuit boards (only)
B)assembly time (only)
C)both circuit boards and assembly time
D)neither circuit boards nor assembly time
E)cannot be determined exactly

Free

Multiple Choice

Q 74Q 74

A local bagel shop produces two products: bagels (B)and croissants (C). Each bagel requires 6 ounces of flour, 1 gram of yeast, and 2 tablespoons of sugar. A croissant requires 3 ounces of flour, 1 gram of yeast, and 4 tablespoons of sugar. The company has 6,600 ounces of flour, 1,400 grams of yeast, and 4,800 tablespoons of sugar available for today's production run. Bagel profits are 20 cents each, and croissant profits are 30 cents each. What is the sugar constraint (in tablespoons)?
A)6 B + 3 C ≤ 4,800
B)1 B + 1 C ≤ 4,800
C)2 B + 4 C ≤ 4,800
D)4 B + 2 C ≤ 4,800
E)2 B + 3 C ≤ 4,800

Free

Multiple Choice

Q 75Q 75

A local bagel shop produces two products: bagels (B)and croissants (C). Each bagel requires 6 ounces of flour, 1 gram of yeast, and 2 tablespoons of sugar. A croissant requires 3 ounces of flour, 1 gram of yeast, and 4 tablespoons of sugar. The company has 6,600 ounces of flour, 1,400 grams of yeast, and 4,800 tablespoons of sugar available for today's production run. Bagel profits are 20 cents each, and croissant profits are 30 cents each.
Which of the following is not a feasible production combination?
A)0 B and 0 C
B)0 B and 1,100 C
C)800 B and 600 C
D)1,100 B and 0 C
E)0 B and 1,400 C

Free

Multiple Choice

Q 76Q 76

A local bagel shop produces two products: bagels (B)and croissants (C). Each bagel requires 6 ounces of flour, 1 gram of yeast, and 2 tablespoons of sugar. A croissant requires 3 ounces of flour, 1 gram of yeast, and 4 tablespoons of sugar. The company has 6,600 ounces of flour, 1,400 grams of yeast, and 4,800 tablespoons of sugar available for today's production run. Bagel profits are 20 cents each, and croissant profits are 30 cents each.
What are optimal profits for today's production run?
A)$580
B)$340
C)$220
D)$380
E)$420

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Multiple Choice

Q 77Q 77

A local bagel shop produces two products: bagels (B)and croissants (C). Each bagel requires 6 ounces of flour, 1 gram of yeast, and 2 tablespoons of sugar. A croissant requires 3 ounces of flour, 1 gram of yeast, and 4 tablespoons of sugar. The company has 6,600 ounces of flour, 1,400 grams of yeast, and 4,800 tablespoons of sugar available for today's production run. Bagel profits are 20 cents each, and croissant profits are 30 cents each.
For the production combination of 600 bagels and 800 croissants, which resource is slack (not fully used)?
A)flour (only)
B)sugar (only)
C)flour and yeast
D)flour and sugar
E)yeast and sugar

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Multiple Choice

Q 78Q 78

The owner of Crackers, Inc., produces two kinds of crackers: Deluxe (D)and Classic (C). She has a limited amount of the three ingredients used to produce these crackers available for her next production run: 4,800 ounces of sugar; 9,600 ounces of flour, and 2,000 ounces of salt. A box of Deluxe crackers requires 2 ounces of sugar, 6 ounces of flour, and 1 ounce of salt to produce; while a box of Classic crackers requires 3 ounces of sugar, 8 ounces of flour, and 2 ounces of salt. Profits for a box of Deluxe crackers are $.40; and for a box of Classic crackers, $.50.
What is the objective function?
A)$.50 D + $.40 C = Z
B)$.20 D + $.30 C = Z
C)$.40 D + $.50 C = Z
D)$.10 D + $.20 C = Z
E)$.60 D + $.80 C = Z

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Multiple Choice

Q 79Q 79

The owner of Crackers, Inc., produces two kinds of crackers: Deluxe (D)and Classic (C). She has a limited amount of the three ingredients used to produce these crackers available for her next production run: 4,800 ounces of sugar; 9,600 ounces of flour, and 2,000 ounces of salt. A box of Deluxe crackers requires 2 ounces of sugar, 6 ounces of flour, and 1 ounce of salt to produce; while a box of Classic crackers requires 3 ounces of sugar, 8 ounces of flour, and 2 ounces of salt. Profits for a box of Deluxe crackers are $.40; and for a box of Classic crackers, $.50. What is the constraint for sugar?
A)2 D + 3 C ≤ 4,800
B)6 D + 8 C ≤ 4,800
C)1 D + 2 C ≤ 4,800
D)3 D + 2 C ≤ 4,800
E)4 D + 5 C ≤ 4,800

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Multiple Choice

Q 80Q 80

The owner of Crackers, Inc., produces two kinds of crackers: Deluxe (D)and Classic (C). She has a limited amount of the three ingredients used to produce these crackers available for her next production run: 4,800 ounces of sugar; 9,600 ounces of flour, and 2,000 ounces of salt. A box of Deluxe crackers requires 2 ounces of sugar, 6 ounces of flour, and 1 ounce of salt to produce; while a box of Classic crackers requires 3 ounces of sugar, 8 ounces of flour, and 2 ounces of salt. Profits for a box of Deluxe crackers are $.40; and for a box of Classic crackers, $.50.
Which of the following is not a feasible production combination?
A)0 D and 0 C
B)0 D and 1,000 C
C)800 D and 600 C
D)1,600 D and 0 C
E)0 D and 1,200 C

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Multiple Choice

Q 81Q 81

The owner of Crackers, Inc., produces two kinds of crackers: Deluxe (D)and Classic (C). She has a limited amount of the three ingredients used to produce these crackers available for her next production run: 4,800 ounces of sugar; 9,600 ounces of flour, and 2,000 ounces of salt. A box of Deluxe crackers requires 2 ounces of sugar, 6 ounces of flour, and 1 ounce of salt to produce; while a box of Classic crackers requires 3 ounces of sugar, 8 ounces of flour, and 2 ounces of salt. Profits for a box of Deluxe crackers are $.40; and for a box of Classic crackers, $.50. What are profits for the optimal production combination?
A)$800
B)$500
C)$640
D)$620
E)$600

Free

Multiple Choice

Q 82Q 82

The owner of Crackers, Inc., produces two kinds of crackers: Deluxe (D)and Classic (C). She has a limited amount of the three ingredients used to produce these crackers available for her next production run: 4,800 ounces of sugar; 9,600 ounces of flour, and 2,000 ounces of salt. A box of Deluxe crackers requires 2 ounces of sugar, 6 ounces of flour, and 1 ounce of salt to produce; while a box of Classic crackers requires 3 ounces of sugar, 8 ounces of flour, and 2 ounces of salt. Profits for a box of Deluxe crackers are $.40; and for a box of Classic crackers, $.50. For the production combination of 800 boxes of Deluxe and 600 boxes of Classic, which resource is slack (not fully used)?
A)sugar (only)
B)flour (only)
C)salt (only)
D)sugar and flour
E)sugar and salt

Free

Multiple Choice

Q 83Q 83

The logistics/operations manager of a mail order house purchases two products for resale: king beds (K)and queen beds (Q). Each king bed costs $500 and requires 100 cubic feet of storage space, and each queen bed costs $300 and requires 90 cubic feet of storage space. The manager has $75,000 to invest in beds this week, and her warehouse has 18,000 cubic feet available for storage. Profit for each king bed is $300 and for each queen bed is $150.
What is the objective function?
A)Z = $150 K + $300 Q
B)Z = $500 K + $300 Q
C)Z = $300 K + $150 Q
D)Z = $300 K + $500 Q
E)Z = $100 K + $90 Q

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Multiple Choice

Q 84Q 84

The logistics/operations manager of a mail order house purchases two products for resale: king beds (K)and queen beds (Q). Each king bed costs $500 and requires 100 cubic feet of storage space, and each queen bed costs $300 and requires 90 cubic feet of storage space. The manager has $75,000 to invest in beds this week, and her warehouse has 18,000 cubic feet available for storage. Profit for each king bed is $300 and for each queen bed is $150.
What is the storage space constraint?
A)200 K + 100 Q ≤ 18,000
B)200 K + 90 Q ≤ 18,000
C)300 K + 90 Q ≤ 18,000
D)500 K + 100 Q ≤ 18,000
E)100 K + 90 Q ≤ 18,000

Free

Multiple Choice

Q 85Q 85

The logistics/operations manager of a mail order house purchases two products for resale: king beds (K)and queen beds (Q). Each king bed costs $500 and requires 100 cubic feet of storage space, and each queen bed costs $300 and requires 90 cubic feet of storage space. The manager has $75,000 to invest in beds this week, and her warehouse has 18,000 cubic feet available for storage. Profit for each king bed is $300 and for each queen bed is $150.
Which of the following is not a feasible purchase combination?
A)0 king beds and 0 queen beds
B)0 king beds and 250 queen beds
C)150 king beds and 0 queen beds
D)90 king beds and 100 queen beds
E)0 king beds and 200 queen beds

Free

Multiple Choice

Q 86Q 86

The logistics/operations manager of a mail order house purchases two products for resale: king beds (K)and queen beds (Q). Each king bed costs $500 and requires 100 cubic feet of storage space, and each queen bed costs $300 and requires 90 cubic feet of storage space. The manager has $75,000 to invest in beds this week, and her warehouse has 18,000 cubic feet available for storage. Profit for each king bed is $300 and for each queen bed is $150.
What is the maximum profit?
A)$0
B)$30,000
C)$42,000
D)$45,000
E)$54,000

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Multiple Choice

Q 87Q 87

The logistics/operations manager of a mail order house purchases two products for resale: king beds (K)and queen beds (Q). Each king bed costs $500 and requires 100 cubic feet of storage space, and each queen bed costs $300 and requires 90 cubic feet of storage space. The manager has $75,000 to invest in beds this week, and her warehouse has 18,000 cubic feet available for storage. Profit for each king bed is $300 and for each queen bed is $150.
For the purchase combination 0 king beds and 200 queen beds, which resource is slack (not fully used)?
A)investment money (only)
B)storage space (only)
C)both investment money and storage space
D)neither investment money nor storage space
E)cannot be determined exactly

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Multiple Choice

Q 88Q 88

A novice linear programmer is dealing with a three-decision-variable problem. To compare the attractiveness of various feasible decision-variable combinations, values of the objective function at corners are calculated. This is an example of
A)empiritation.
B)explicitation.
C)evaluation.
D)enumeration.
E)elicitation.

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Multiple Choice

Q 89Q 89

When we use less of a resource than was available, in linear programming that resource would be called non-__________.
A)binding
B)feasible
C)reduced cost
D)linear
E)enumerated

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Multiple Choice

Q 90Q 90

Once we go beyond two decision variables, typically the ___________ method of linear programming must be used.
A)simplicit
B)unidimensional
C)simplex
D)dynamic
E)exponential

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Multiple Choice

Q 91Q 91

_________________ is a means of assessing the impact of changing parameters in a linear programming model.
A)Shadow pricing
B)Simplex
C)Slack
D)Surplus
E)Sensitivity analysis

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Multiple Choice

Q 92Q 92

It has been determined that, with respect to resource X, a one-unit increase in availability of X is within the range of feasibility for X and would lead to a $3.50 increase in the value of the objective function. This $3.50 value would be X's
A)range of optimality.
B)shadow price.
C)range of feasibility.
D)slack.
E)surplus.

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Multiple Choice

Q 93Q 93

_______________ are limitations that restrict the alternatives available to those making the decisions.
A)Variables
B)Constraints
C)Objectives
D)Feasible
E)Parameters

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Multiple Choice

Q 94Q 94

_______________ represent choices available to the decision maker in terms of the amounts of either inputs or outputs.
A)Decision variables
B)Constraints
C)Objectives
D)Feasible
E)Parameters

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Multiple Choice

Q 95Q 95

_______________ is/are a set of all feasible combinations of decision variables as defined by the constraints.
A)Decision variables
B)Constraints
C)Objectives
D)Feasible solution space
E)Parameters

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Multiple Choice

Q 96Q 96

_______________ is/are numerical constants used in linear programming.
A)Decision variables
B)Constraints
C)Objectives
D)Feasible solution space
E)Parameters

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Multiple Choice

Q 97Q 97

_______________ is/are a mathematical expression that can be used to determine the total profit for a given solution.
A)Decision variables
B)Constraints
C)Objective function
D)Feasible solution space
E)Parameters

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Multiple Choice

Q 98Q 98

_______________ in Excel is a routine that performs necessary calculations.
A)Execute
B)Perform
C)Solver
D)Run
E)Calculate

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Multiple Choice