Question 1

Atlas Inc.produces product A and product B.Each product must go through two processes.Each A produced requires two hours in process 1 and five hours in process 2.Each B produced requires six hours in process 1 and three hours in process 2.There are 80 hours of capacity available each week in each process.Each A produced generates $6.00 in profit for the company.Each B produced generates $9.00 in profit for the company.The capacity constraint for Process 2 is

Accepted Answer

A)  5A + 3B > 80
B)  6A + 3 B 
C)  5A + 3B 
D)  5A + 3B < 80. C

Question 2

Linear programming is a mathematical modeling technique based on linear relationships

Accepted Answer

A) True 
 B)False  True

Question 3

TicToc produces product A and product B.These products have the following resource requirements.  The firm has a weekly production budget of $3000 and a maximum of 1000 hours of labor per week.Each A produced generates $35.00 in profit for the company.Each B produced generates $25.00 in profit for the company.The company's objective function is

Accepted Answer

A)  Maximize Z = $35.00A + $25.00B.
B)  Minimize Z = $12A + 8B.
C)  Minimize Z = 4A + 3B.
D)  None of these answer choices is correct. A

Question 4

Atlas Inc.produces product A and product B.Each product must go through two processes.Each A produced requires two hours in process 1 and five hours in process 2.Each B produced requires six hours in process 1 and three hours in process 2.There are 80 hours of capacity available each week in each process.Each A produced generates $6.00 in profit for the company.Each B produced generates $9.00 in profit for the company.If the company produces 6 units of A and 9 units of B the amount of slack (in hours)for process 1 is

Accepted Answer

A)  0 hours.
B)  14 hours.
C)  66 hours.
D)  80 hours.

Question 5

TicToc produces product A and product B.These products have the following resource requirements.  The firm has a weekly production budget of $3000 and a maximum of 1000 hours of labor per week.Each A produced generates $35.00 in profit for the company.Each B produced generates $25.00 in profit for the company.If the company produces 100 units of A and 200 units of B the value of the objective function is equal to

Accepted Answer

A)  $2,800.
B)  $8,500.
C)  $9,500.
D)  $11,800.

Question 6

Because linear programming provides an optimal solution,sensitivity analysis is never an important consideration.

Accepted Answer

A) True 
 B)False

Question 7

Most real-world linear programming problems cannot be solved graphically.

Accepted Answer

A) True 
 B)False

Question 8

TicToc produces product A and product B.These products have the following resource requirements.  The firm has a weekly production budget of $3000 and a maximum of 1000 hours of labor per week.Each A produced generates $35.00 in profit for the company.Each B produced generates $25.00 in profit for the company.The constraint for the budget is represented by

Accepted Answer

A)  $35A + $25B 
B)  $35A + $25B > $3,000.
C)  $12A + $8B > $3,000.
D)  $12A + $8B < $3,000.

Question 9

Briefly define the components that comprise a linear programming model.

Accepted Answer

The answer of Briefly define the components that comprise a...

Question 10

TicToc produces product A and product B.These products have the following resource requirements.  The firm has a weekly production budget of $3000 and a maximum of 1000 hours of labor per week.Each A produced generates $35.00 in profit for the company.Each B produced generates $25.00 in profit for the company.If the company produces 100 units of A and 200 units of B the amount of slack (in hours)for labor is

Accepted Answer

A)  0 hours.
B)  14 hours.
C)  66 hours.
D)  80 hours.

Question 11

While all linear programming problems have a single objective function,very few,if any,have constraints.

Accepted Answer

A) True 
 B)False

Question 12

Atlas Inc.produces product A and product B.Each product must go through two processes.Each A produced requires two hours in process 1 and five hours in process 2.Each B produced requires six hours in process 1 and three hours in process 2.There are 80 hours of capacity available each week in each process.Each A produced generates $6.00 in profit for the company.Each B produced generates $9.00 in profit for the company.The company's objective function is

Accepted Answer

A)  Maximize Z = $6.00A + $9.00B.
B)  Maximize Z = $9.00A + $6.00B.
C)  Minimize Z = $6.00A + $9.00B.
D)  Minimize Z = $6.00A +$9.00B.

Question 13

_____________ represent a restriction on decision variable values for a linear programming problem.

Accepted Answer

A)  Surpluses
B)  Constraints
C)  Extreme points
D)  Optimal points

Question 14

The optimal solution for a linear programming problem will always occur at an extreme point.

Accepted Answer

A) True 
 B)False

Question 15

The objective function in a linear programming formulation defines the feasible solution space.

Accepted Answer

A) True 
 B)False

Question 16

If a resource has positive shadow price,its slack is __________.

Accepted Answer

A)  larger than or equal to zero
B)  positive
C)  zero
D)  There is not enough information to answer the question.

Question 17

Linear programming problems with three decision variables can be solved graphically.

Accepted Answer

A) True 
 B)False

Question 18

A company produces product A and product B.These products have the following resource requirements.  The firm has a weekly production budget of $5000 and a maximum of 800 hours of labor per week.Each A produced generates $45.00 in profit for the company.Each B produced generates $35.00 in profit for the company.The labor constraint is represented by

Accepted Answer

A)  45A + 35B 
B)  45A + 35B > 800.
C)  4A + 5B > 800.
D)  4A + 5B < 800.

Question 19

The constraint 3x1 + 6x2 > 48 is converted to an equality by

Accepted Answer

A)  adding a slack variable.
B)  subtracting a surplus variable.
C)  adding both a slack variable and a surplus variable.
D)  subtracting both a slack variable and a surplus variable.

Question 20

A formulation for a linear programming model consists of a decision variable,a constraint and several objective functions.

Accepted Answer

A) True 
 B)False

Exam 21: Supplement Operational Decision-Making Tools: Linear Programming

Linear programming is a mathematical modeling technique based on linear relationships

Because linear programming provides an optimal solution,sensitivity analysis is never an important consideration.

Most real-world linear programming problems cannot be solved graphically.

Briefly define the components that comprise a linear programming model.

While all linear programming problems have a single objective function,very few,if any,have constraints.

_____________ represent a restriction on decision variable values for a linear programming problem.

The optimal solution for a linear programming problem will always occur at an extreme point.

The objective function in a linear programming formulation defines the feasible solution space.

If a resource has positive shadow price,its slack is __________.

Linear programming problems with three decision variables can be solved graphically.

The constraint 3x1 + 6x2 > 48 is converted to an equality by

A formulation for a linear programming model consists of a decision variable,a constraint and several objective functions.