Question 1

For the constraints given below, which point is in the feasible solution space of this minimization problem?

Accepted Answer

A) x = 0.5, y = 5.0 
B) x = 0.0, y = 4.0 
C) x = 2.0, y = 5.0 
D) x = 1.0, y = 2.0 
E) x = 2.0, y = 1.0 
A) x = 0.5, y = 5.0 
B) x = 0.0, y = 4.0 
C) x = 2.0, y = 5.0 
D) x = 1.0, y = 2.0 
E) x = 2.0, y = 1.0

Question 2

Which of the following is not a feasible production combination?

Accepted Answer

A) 0 L & 0 D 
B) 0 L & 120 D 
C) 90 L & 75 D 
D) 135 L & 0 D 
E) 135 L & 120 D 
A) 0 L & 0 D 
B) 0 L & 120 D 
C) 90 L & 75 D 
D) 135 L & 0 D 
E) 135 L & 120 D

Question 3

What are optimal weekly profits?

Accepted Answer

A) $0 
B) $400 
C) $700 
D) $800 
E) $900 
A) $0 
B) $400 
C) $700 
D) $800 
E) $900

Question 4

What are optimal weekly profits?

Accepted Answer

A) $10,000 
B) $4,600 
C) $2,500 
D) $5,200 
E) $6,400 
A) $10,000 
B) $4,600 
C) $2,500 
D) $5,200 
E) $6,400

Question 5

What is the objective function?

Accepted Answer

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 
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

Question 6

What are optimal daily profits?

Accepted Answer

A) $960 
B) $1,560 
C) $1,800 
D) $1,900 
E) $2,520 
A) $960 
B) $1,560 
C) $1,800 
D) $1,900 
E) $2,520

Question 7

In linear programming, sensitivity analysis is associated with: (I) objective function coefficient
(II) right-hand side values of constraints
(III) constraint coefficient

Accepted Answer

A) I and II 
B) II and III 
C) I, II and III 
D) I and III 
E) none of the above 
A) I and II 
B) II and III 
C) I, II and III 
D) I and III 
E) none of the above

Question 8

What are optimal profits for today's production run?

Accepted Answer

A) $580 
B) $340 
C) $220 
D) $380 
E) $420 
A) $580 
B) $340 
C) $220 
D) $380 
E) $420

Question 9

For the production combination of 180 Root beer and 0 Sassafras soda, which resource is "slack" (not fully used)?

Accepted Answer

A) production time (only) 
B) carbonated water (only) 
C) both production time and carbonated water 
D) neither production time and carbonated water 
E) cannot be determined exactly 
A) production time (only) 
B) carbonated water (only) 
C) both production time and carbonated water 
D) neither production time and carbonated water 
E) cannot be determined exactly

Question 10

A shadow price reflects which of the following in a maximization problem?

Accepted Answer

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 adding one unit of a resource 
D) marginal gain in the objective that would be realized by subtracting one unit of a resource 
E) expected value of perfect information 
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 adding one unit of a resource 
D) marginal gain in the objective that would be realized by subtracting one unit of a resource 
E) expected value of perfect information

Question 11

Constraints limit the alternatives available to a decision-maker, removing constraints adds viable alternative solutions.

Accepted Answer

A) True 
 B)False

Question 12

Which objective function has the same slope as this one: $4x + $2y = $20?

Accepted Answer

A) $4x + $2y = $10 
B) $2x + $4y = $20 
C) $2x - $4y = $20 
D) $4x - $2y = $20 
E) $8x + $8y = $20 
A) $4x + $2y = $10 
B) $2x + $4y = $20 
C) $2x - $4y = $20 
D) $4x - $2y = $20 
E) $8x + $8y = $20

Question 13

Which of the choices below constitutes a simultaneous solution to these equations?

Accepted Answer

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 
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

Question 14

An objective function represents a family of parallel lines.

Accepted Answer

A) True 
 B)False

Question 15

The linear optimization technique for allocating constrained resources among different products is:

Accepted Answer

A) linear regression analysis 
B) linear disaggregation 
C) linear decomposition 
D) linear programming 
E) linear tracking analysis 
A) linear regression analysis 
B) linear disaggregation 
C) linear decomposition 
D) linear programming 
E) linear tracking analysis

Question 16

For the products A, B, C and D, which of the following could be a linear programming objective function?

Accepted Answer

A) Z = 1A + 2B + 3C + 4D 
B) Z = 1A + 2BC + 3D 
C) Z = 1A + 2AB + 3ABC + 4ABCD 
D) Z = 1A + 2B/C + 3D 
E) all of the above 
A) Z = 1A + 2B + 3C + 4D 
B) Z = 1A + 2BC + 3D 
C) Z = 1A + 2AB + 3ABC + 4ABCD 
D) Z = 1A + 2B/C + 3D 
E) all of the above

Question 17

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 _________.

Accepted Answer

A) empiritation 
B) explicitation 
C) evaluation 
D) enumeration 
E) elicitation 
A) empiritation 
B) explicitation 
C) evaluation 
D) enumeration 
E) elicitation

Question 18

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

Accepted Answer

A) True 
 B)False

Question 19

Which of the following is not a feasible production/sales combination?

Accepted Answer

A) 0 A & 0 B 
B) 0 A & 1,000 B 
C) 1,800 A & 700 B 
D) 2,500 A & 0 B 
E) 100 A & 1,600 B 
A) 0 A & 0 B 
B) 0 A & 1,000 B 
C) 1,800 A & 700 B 
D) 2,500 A & 0 B 
E) 100 A & 1,600 B

Question 20

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

Accepted Answer

A) True 
 B)False

Exam 19: Linear Programming

For the constraints given below, which point is in the feasible solution space of this minimization problem?

Which of the following is not a feasible production combination?

What are optimal weekly profits?

What are optimal weekly profits?

What is the objective function?

What are optimal daily profits?

In linear programming, sensitivity analysis is associated with: (I) objective function coefficient (II) right-hand side values of constraints (III) constraint coefficient

What are optimal profits for today's production run?

For the production combination of 180 Root beer and 0 Sassafras soda, which resource is "slack" (not fully used)?

A shadow price reflects which of the following in a maximization problem?

Constraints limit the alternatives available to a decision-maker, removing constraints adds viable alternative solutions.

Which objective function has the same slope as this one: $4x + $2y = $20?

Which of the choices below constitutes a simultaneous solution to these equations?

An objective function represents a family of parallel lines.

The linear optimization technique for allocating constrained resources among different products is:

For the products A, B, C and D, which of the following could be a linear programming objective function?

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 _________.

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

Which of the following is not a feasible production/sales combination?

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

Introduction to Operations Management

Competitiveness, Strategy, and Productivity

Forecasting

Product and Service Design

Strategic Capacity Planning for Products and Services

Process Selection and Facility Layout

Work Design and Measurement

Location Planning and Analysis

Management of Quality

Quality Control

Aggregate Planning and Master Scheduling

MRP and ERP

Inventory Management

Jit and Lean Operations

Supply Chain Management

Scheduling

Project Management

Management of Waiting Lines

Extension 4: Reliability

Extension 5: Decision Theory

Extension 7: Learning Curves

Extension 8: The Transportation Model

Extension 10: Acceptance Sampling

Extension 14: Maintenance

Filters