Question 1

Which of the following is generally correct regarding the transportation problem of linear programming?
A)Supply = demand
B)Objective is maximizing profit contribution
C)Shipping cost from each source to each destination is the same
D)Exponential loading/unloading distribution is assumed

Accepted Answer

The transportation problem of linear programming usually assumes that supply (the amount of goods available) equals demand (the amount of goods needed), which is option A. Option B is incorrect as the objective can vary, and may be to minimize transportation costs or time. Option C is incorrect as shipping costs can vary based on different factors such as distance, mode of transportation, and weight/volume of goods. Option D is also incorrect as an exponential loading/unloading distribution is not typically assumed in the transportation problem.

Question 2

If R_m = increase in the total production level during Month 'm' compared to Month m-1 and D_m = decrease in the total production level during Month 'm' compared to Month m-1, which of the following statements can be correct? A)R_m = D_m = 0 B)Both R_m and D_m positive C)Both R_m and D_mnegative D)One variable can be positive and the other negative

Accepted Answer

A

Question 3

Deciding on how much of each grade of gasoline to produce is an example of the linear programming model for blending applications.

Accepted Answer

Linear programming models can be used in blending applications to determine how much of different ingredients to mix together to achieve a desired outcome, such as producing gasoline with specific grades.

Question 4

Excel solver can handle basic linear programming but not the special transportation problem.

Accepted Answer

Excel solver can handle special transportation problems, which involve minimizing transportation costs and satisfying supply and demand constraints, by using linear programming techniques.

Question 5

If for a given (month overtime units O_t) = under-(time units U_t), A)Non-negativity would not allow this B)Only possible with subcontracting C)There was no over- or under-time D)Will work if one is positive and the other is negative in the same magnitude

Accepted Answer

If the overtime units and under-time units are equal, then there is no overtime or under-time for the given month. Therefore, the best choice is C.

Question 6

The transportation problem is a special type of linear programming that arises in planning the distribution of goods and services from only one supply point to several demand locations.

Accepted Answer

The transportation problem is a type of linear programming problem that involves distributing goods and services from multiple supply points to multiple demand locations, not just from one supply point.

Question 7

The constraint that requires the beginning inventory plus production minus sales to equal the ending inventory is called material-balance equation.

Accepted Answer

This statement is true. The material-balance equation is a fundamental accounting equation used in manufacturing and inventory management to ensure accurate tracking of inventory levels. It states that the beginning inventory plus production minus sales must equal the ending inventory.

Question 8

Since price is usually set by market conditions, the blending problem use of linear programming attempts to meet demand at minimum cost.

Accepted Answer

The blending problem in linear programming aims to find the optimal combination of input materials to meet a specific set of requirements or demand while minimizing costs. Price is determined by market conditions and is not directly involved in the blending problem.

Question 9

The term 'programming' is used in linear programming because these models find the best 'program' or course of action to follow.

Accepted Answer

Linear programming is a mathematical modeling technique used to determine the best outcome or solution to a given problem. The word 'programming' is used here to denote a strategic plan or course of action that is optimized to achieve the desired outcome.

Question 10

Which of the following factors would generally not be part of a linear programming model for production scheduling?
A)Fluctuations in production
B)Inventory levels
C)Waiting time probability distributions
D)Storage capacity

Accepted Answer

Linear programming models typically use deterministic values for input variables, so waiting time probability distributions, which are inherently probabilistic, would not typically be included in the model. Factors such as fluctuations in production, inventory levels, and storage capacity can be expressed as deterministic values and would typically be included in the model.

Question 11

For linear programming to work for project crashing decisions, a dummy activity is needed at the beginning of the project, with a duration of zero 0) time.

Accepted Answer

In linear programming for project crashing, dummy activities are used to represent precedence relationships between tasks, not necessarily at the beginning of the project, and their duration is not relevant to their purpose.

Question 12

X₁, X₂ $\ge$ 0 refers to A)Feasibility B)Maximization C)Production-rate changes D)Non-negativity

Accepted Answer

The presence of "0" in the constraint (X₁, X₂) means non-negativity, that is, the variables cannot take negative values. Feasibility, maximization, and production rate changes are not indicated by the presence of "0".

Question 13

(a month's production) + (beginning inventory) - (ending inventory) - (number of lost sales for the month) =
A)Overtime limits
B)Demand in the month
C)Increase in product
D)Decrease in production

Accepted Answer

The answer of (a month's production) + (beginning inventory) -...

Question 14

Solutions to a linear programming model that satisfy all constraints are referred to as optimal.

Accepted Answer

Solutions that satisfy all constraints are referred to as feasible solutions. The optimal solution is the feasible solution that results in the best value (maximum or minimum) of the objective function.

Question 15

Which of the following factors would generally not be part of a linear programming model for blending?
A)Revenue
B)Cost
C)Product/component specifications
D)Supply = demand

Accepted Answer

Supply and demand would not typically be included in a linear programming model for blending as it pertains to the market and external factors, rather than the internal process of blending itself. A linear programming model for blending would typically involve optimizing a mix of ingredients based on their costs, product specifications, and potentially revenue from selling the final product.

Question 16

Any particular combination of decision variables is referred to as an) ____.
A)Objective
B)Solution
C)Constraint
D)Optimization

Accepted Answer

A combination of decision variables that satisfies all the constraints and maximizes/minimizes the objective function is referred to as a solution. Therefore, option B is the correct choice. Option A refers to the goal, option C refers to restrictions, and option D refers to the process of finding the best solution.

Question 17

The normal-time project cost does not depend on what crashing decisions are made. As a result, total crash costs can be minimized for a linear programming objective.

Accepted Answer

The answer of The normal-time project cost does not depend...

Question 18

Constant terms in the objective function are called object function ____.
A)Variables
B)Decision solutions
C)Coefficients
D)Constraints

Accepted Answer

The constant terms in the objective function are called object function coefficients, as they are the coefficients that multiply the decision variables in the objective function. Variables are unknown quantities that we are trying to find or optimize, decision solutions refer to the feasible solutions found through the optimization process, and constraints are limitations or restrictions on the variable values.

Question 19

Ending inventory from the previous month) + current production) - ending inventory this month) =
A)Production rate change
B)This month's demand
C)Amount of overtime/under-time
D)Next month's inventory

Accepted Answer

The answer of Ending inventory from the previous month) +...

Question 20

Neither the R_m, increase in the total production levels during Month 'm' compared to Month m-1, or the D_m, decrease in the total production level during Month 'm' compared to Month m-1, can be negative because only positive changes would be permitted due to the non-negativity requirement.

Accepted Answer

The statement correctly states that only positive changes would be permitted due to the non-negativity requirement. Therefore, both R_m and D_m cannot be negative.

Quiz 21: Modeling Using Linear Programming

Which of the following is generally correct regarding the transportation problem of linear programming?

If R_m = increase in the total production level during Month 'm' compared to Month m-1 and D_m = decrease in the total production level during Month 'm' compared to Month m-1, which of the following statements can be correct?

Deciding on how much of each grade of gasoline to produce is an example of the linear programming model for blending applications.

Excel solver can handle basic linear programming but not the special transportation problem.

If for a given (month overtime units O_t) = under-(time units U_t) ,

The transportation problem is a special type of linear programming that arises in planning the distribution of goods and services from only one supply point to several demand locations.

The constraint that requires the beginning inventory plus production minus sales to equal the ending inventory is called material-balance equation.

Since price is usually set by market conditions, the blending problem use of linear programming attempts to meet demand at minimum cost.

The term 'programming' is used in linear programming because these models find the best 'program' or course of action to follow.

Which of the following factors would generally not be part of a linear programming model for production scheduling?

For linear programming to work for project crashing decisions, a dummy activity is needed at the beginning of the project, with a duration of zero 0) time.

X₁, X₂ $\ge$ 0 refers to

(a month's production) + (beginning inventory) - (ending inventory) - (number of lost sales for the month) =

Solutions to a linear programming model that satisfy all constraints are referred to as optimal.

Which of the following factors would generally not be part of a linear programming model for blending?

Any particular combination of decision variables is referred to as an) ____.

The normal-time project cost does not depend on what crashing decisions are made. As a result, total crash costs can be minimized for a linear programming objective.

Constant terms in the objective function are called object function ____.

Ending inventory from the previous month) + current production) - ending inventory this month) =

Neither the R_m, increase in the total production levels during Month 'm' compared to Month m-1, or the D_m, decrease in the total production level during Month 'm' compared to Month m-1, can be negative because only positive changes would be permitted due to the non-negativity requirement.

Quiz 21: Modeling Using Linear Programming

Which of the following is generally correct regarding the transportation problem of linear programming?

If Rm = increase in the total production level during Month 'm' compared to Month m-1 and Dm = decrease in the total production level during Month 'm' compared to Month m-1, which of the following statements can be correct?

Deciding on how much of each grade of gasoline to produce is an example of the linear programming model for blending applications.

Excel solver can handle basic linear programming but not the special transportation problem.

If for a given (month overtime units Ot) = under-(time units Ut) ,

The transportation problem is a special type of linear programming that arises in planning the distribution of goods and services from only one supply point to several demand locations.

The constraint that requires the beginning inventory plus production minus sales to equal the ending inventory is called material-balance equation.

Since price is usually set by market conditions, the blending problem use of linear programming attempts to meet demand at minimum cost.

The term 'programming' is used in linear programming because these models find the best 'program' or course of action to follow.

Which of the following factors would generally not be part of a linear programming model for production scheduling?

For linear programming to work for project crashing decisions, a dummy activity is needed at the beginning of the project, with a duration of zero 0) time.

X1, X2 ≥\ge≥ 0 refers to

(a month's production) + (beginning inventory) - (ending inventory) - (number of lost sales for the month) =

Solutions to a linear programming model that satisfy all constraints are referred to as optimal.

Which of the following factors would generally not be part of a linear programming model for blending?

Any particular combination of decision variables is referred to as an) ____.

The normal-time project cost does not depend on what crashing decisions are made. As a result, total crash costs can be minimized for a linear programming objective.

Constant terms in the objective function are called object function ____.

Ending inventory from the previous month) + current production) - ending inventory this month) =

Neither the Rm, increase in the total production levels during Month 'm' compared to Month m-1, or the Dm, decrease in the total production level during Month 'm' compared to Month m-1, can be negative because only positive changes would be permitted due to the non-negativity requirement.

If R_m = increase in the total production level during Month 'm' compared to Month m-1 and D_m = decrease in the total production level during Month 'm' compared to Month m-1, which of the following statements can be correct?

If for a given (month overtime units O_t) = under-(time units U_t) ,

X₁, X₂ $\ge$ 0 refers to

Neither the R_m, increase in the total production levels during Month 'm' compared to Month m-1, or the D_m, decrease in the total production level during Month 'm' compared to Month m-1, can be negative because only positive changes would be permitted due to the non-negativity requirement.