Quiz 19: Linear Programming

Linear programming techniques will always produce an optimal solution to an LP problem.

LP problems must have a single goal or objective specified.

Constraints limit the alternatives available to a decision maker

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

The feasible solution space only contains points that satisfy all constraints.

The equation 5 x + 7 y = 10 is linear.

The equation 3 xy = 9 is linear.

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

An objective function represents a family of parallel lines.

The term isoprofit line means that all points on the line will yield the same profit.

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

The value of an objective function always decreases as it is moved away from the origin.

A linear programming problem can have multiple optimal solutions.

A maximization problem is limited by all greater than or equal to constraints.

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

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

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

The term range of feasibility refers to a constraint's right-hand-side quantity.

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.

The term range of feasibility refers to coefficients of the objective function.

Nonzero slack or surplus is associated with a binding constraint.

In the range of feasibility, the value of the shadow price remains constant.

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

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

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

Using the enumeration approach, optimality is obtained by evaluating every coordinate.

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

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.

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

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

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.

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.

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

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

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

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

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

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

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.

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

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

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.

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.

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

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.

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.

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

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.

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.

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.

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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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.

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

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

_________________ 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

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.

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

_______________ 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

_______________ 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

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

_______________ 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

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