The optimal solution using linear programming software. Introduction: Linear programming: It is a linear optimization technique followed to develop the best outcome for the linear programming problem. The outcome might be to maximize profit, minimize cost, or to determine the optimal product mix. The outcome will take the constraints present in achieving the solution into consideration.

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Answer 1

Question

Chapter B, Problem 22P

a)

Summary Introduction

To determine: The optimal solution using linear programming software.

Introduction:

Linear programming:

It is a linear optimization technique followed to develop the best outcome for the linear programming problem. The outcome might be to maximize profit, minimize cost, or to determine the optimal product mix. The outcome will take the constraints present in achieving the solution into consideration.

b)

Summary Introduction

To identify: If there is any unused time on any of the machines at the optimal solution.

c)

Summary Introduction

To determine: The worth for adding an additional hour of time on third machine.

d)

Summary Introduction

To determine: The increase in profit by adding an additional 10 hours of time on the second machine.

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A recruiter for a job placement agency is considering whether to pay $50,000 per year to lease a new recruiting facility in a prime location in Washington D. C. He estimates it will cost $50 per recruit to process the paperwork at this new location. He receives a $75 commission for each new recruit he processes. Part A - If the office space at this new location has design and effective capacities of 10,000 and 8,000 recruits processed annually, respectively, and 6,000 recruits will be processed per year, what will be the utilization of the office space?Part B - If his office space at this new location has design and effective capacities of 10,000 and 8,000 recruits processed annually, respectively, and he plans to be 90% efficient in his use of this space, how many recruits does he plan to process per year?

Benny is the manager of an office-support business that supplies copying, binding, and other services for local companies. He must replace a worn-out copy machine that is used for black- and-white copying. He is considering two machines, and each of these has a monthly lease cost plus a cost for each page that is copied. Machine 1 has a monthly lease cost of $639, and there is a cost of $0.030 per page copied. Machine 2 has a monthly lease cost of $747, and there is a cost of $0.045 per page copied. Customers are charged $.08 per page copied. a. What is the break-even point for each machine? b. If Benny expects to make 75,000 copies per month, what would be the monthly cost for each machine? (round your answers to the highest whole number)

Benny is the manager of an office-support business that supplies copying, binding, and other services for local companies. He must replace a worn-out copy machine that is used for black-and-white copying. He is considering two machines, and each of these has a monthly lease cost plus a cost for each page that is copied. Machine 1 has a monthly lease cost of $619, and there is a cost of $0.040 per page copied. Machine 2 has a monthly lease cost of $685, and there is a cost of $0.025 per page copied. Customers are charged $.12 per page copied. If Benny expects to make 75,000 copies per month, what would be the monthly cost for each machine?

Answer 2

Question

Chapter B, Problem 22P

a)

Summary Introduction

To determine: The optimal solution using linear programming software.

Introduction:

Linear programming:

It is a linear optimization technique followed to develop the best outcome for the linear programming problem. The outcome might be to maximize profit, minimize cost, or to determine the optimal product mix. The outcome will take the constraints present in achieving the solution into consideration.

b)

Summary Introduction

To identify: If there is any unused time on any of the machines at the optimal solution.

c)

Summary Introduction

To determine: The worth for adding an additional hour of time on third machine.

d)

Summary Introduction

To determine: The increase in profit by adding an additional 10 hours of time on the second machine.

Expert Solution & Answer

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See solution

Answer 3

Question

Chapter B, Problem 22P

a)

Summary Introduction

To determine: The optimal solution using linear programming software.

Introduction:

Linear programming:

It is a linear optimization technique followed to develop the best outcome for the linear programming problem. The outcome might be to maximize profit, minimize cost, or to determine the optimal product mix. The outcome will take the constraints present in achieving the solution into consideration.

b)

Summary Introduction

To identify: If there is any unused time on any of the machines at the optimal solution.

c)

Summary Introduction

To determine: The worth for adding an additional hour of time on third machine.

d)

Summary Introduction

To determine: The increase in profit by adding an additional 10 hours of time on the second machine.

Expert Solution & Answer

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Answer 4

Question

Chapter B, Problem 22P

a)

Summary Introduction

To determine: The optimal solution using linear programming software.

Introduction:

Linear programming:

It is a linear optimization technique followed to develop the best outcome for the linear programming problem. The outcome might be to maximize profit, minimize cost, or to determine the optimal product mix. The outcome will take the constraints present in achieving the solution into consideration.

b)

Summary Introduction

To identify: If there is any unused time on any of the machines at the optimal solution.

c)

Summary Introduction

To determine: The worth for adding an additional hour of time on third machine.

d)

Summary Introduction

To determine: The increase in profit by adding an additional 10 hours of time on the second machine.

Expert Solution & Answer

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Answer 5

Chapter B, Problem 22P

a)

Summary Introduction

To determine: The optimal solution using linear programming software.

Introduction:

Linear programming:

It is a linear optimization technique followed to develop the best outcome for the linear programming problem. The outcome might be to maximize profit, minimize cost, or to determine the optimal product mix. The outcome will take the constraints present in achieving the solution into consideration.

b)

Summary Introduction

To identify: If there is any unused time on any of the machines at the optimal solution.

c)

Summary Introduction

To determine: The worth for adding an additional hour of time on third machine.

d)

Summary Introduction

To determine: The increase in profit by adding an additional 10 hours of time on the second machine.

Answer 6

Chapter B, Problem 22P

a)

Summary Introduction

To determine: The optimal solution using linear programming software.

Introduction:

Linear programming:

It is a linear optimization technique followed to develop the best outcome for the linear programming problem. The outcome might be to maximize profit, minimize cost, or to determine the optimal product mix. The outcome will take the constraints present in achieving the solution into consideration.

Answer 7

Chapter B, Problem 22P

a)

Summary Introduction

To determine: The optimal solution using linear programming software.

Introduction:

Linear programming:

It is a linear optimization technique followed to develop the best outcome for the linear programming problem. The outcome might be to maximize profit, minimize cost, or to determine the optimal product mix. The outcome will take the constraints present in achieving the solution into consideration.

Answer 8

b)

Summary Introduction

To identify: If there is any unused time on any of the machines at the optimal solution.

Answer 9

b)

Summary Introduction

To identify: If there is any unused time on any of the machines at the optimal solution.

Answer 10

c)

Summary Introduction

To determine: The worth for adding an additional hour of time on third machine.

Answer 11

c)

Summary Introduction

To determine: The worth for adding an additional hour of time on third machine.

Answer 12

d)

Summary Introduction

To determine: The increase in profit by adding an additional 10 hours of time on the second machine.

Answer 13

d)

Summary Introduction

To determine: The increase in profit by adding an additional 10 hours of time on the second machine.

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

Ch. B - Prob. 1DQ Ch. B - Prob. 2DQ Ch. B - Prob. 3DQ Ch. B - Prob. 4DQ Ch. B - Prob. 5DQ Ch. B - Prob. 6DQ Ch. B - Prob. 7DQ Ch. B - Prob. 8DQ Ch. B - Prob. 9DQ Ch. B - Prob. 10DQ

Solution Summary: The author explains how to determine the optimal solution using linear programming software.

Concept explainers

To identify: If there is any unused time on any of the machines at the optimal solution.

To determine: The worth for adding an additional hour of time on third machine.

To determine: The increase in profit by adding an additional 10 hours of time on the second machine.

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Chapter B Solutions