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The Great Threads Company is capable of manufacturing shirts, shorts, pants, skirts, and jackets. Each type of clothing requires that Great Threads have the appropriate type of machinery available. The machinery needed to manufacture each type of clothing must be rented at the weekly rates shown in Table 6.2. This table also lists the amounts of cloth and labor required per unit of clothing, as well as the selling price and the unit variable cost for each type of clothing. In a given week, 4000 labor hours and 4500 square yards (sq.yd.) of cloth are available. The company wants to find a solution that maximizes its weekly profit. Table 6.2 Data for the Great Threads Example In the optimal solution to the Great Threads model, the labor hour and cloth constraints are both binding—the company is using all it has. a. Use SolverTable to see what happens to the optimal solution when the amount of available cloth increases from its current value. (You can choose the range of input values to use.) Capture all of the decision variable cells, the labor hours and cloth used, and the profit as outputs in the table. The real issue here is whether the company can profitably use more cloth when it is already constrained by labor hours. b. Repeat part a, but reverse the roles of labor hours and cloth. That is, use the available labor hours as the input for SolverTable.

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Practical Management Science

6th Edition
WINSTON + 1 other
Publisher: Cengage,
ISBN: 9781337406659

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Section
BuyFindarrow_forward

Practical Management Science

6th Edition
WINSTON + 1 other
Publisher: Cengage,
ISBN: 9781337406659
Chapter 6.4, Problem 14P
Textbook Problem
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The Great Threads Company is capable of manufacturing shirts, shorts, pants, skirts, and jackets. Each type of clothing requires that Great Threads have the appropriate type of machinery available. The machinery needed to manufacture each type of clothing must be rented at the weekly rates shown in Table 6.2. This table also lists the amounts of cloth and labor required per unit of clothing, as well as the selling price and the unit variable cost for each type of clothing. In a given week, 4000 labor hours and 4500 square yards (sq.yd.) of cloth are available. The company wants to find a solution that maximizes its weekly profit.

Table 6.2 Data for the Great Threads Example

Chapter 6.4, Problem 14P, The Great Threads Company is capable of manufacturing shirts, shorts, pants, skirts, and jackets.

In the optimal solution to the Great Threads model, the labor hour and cloth constraints are both binding—the company is using all it has.

  1. a. Use SolverTable to see what happens to the optimal solution when the amount of available cloth increases from its current value. (You can choose the range of input values to use.) Capture all of the decision variable cells, the labor hours and cloth used, and the profit as outputs in the table. The real issue here is whether the company can profitably use more cloth when it is already constrained by labor hours.
  2. b. Repeat part a, but reverse the roles of labor hours and cloth. That is, use the available labor hours as the input for SolverTable.

a)

Summary Introduction

To determine: The changes in the optimal solution when the cloths available increases using SolverTable.

Introduction: The variation between the present value of the cash outflows and the present value of the cash inflows are known as the Net Present Value (NPV).

Explanation of Solution

Model:

Formulae to determine the model:

SolverTable parameter:

b)

Summary Introduction

To determine: The changes in the optimal solution by reversing the roles of labor hours and cloths using SolverTable.

Introduction: The variation between the present value of the cash outflows and the present value of the cash inflows are known as the Net Present Value (NPV).

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Chapter 6 Solutions

Practical Management Science
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