Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 900 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 400 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table: Production Time (Hours) Model Cutting and Sewing Finishing Packaging and Shipping Profit/Glove Regular model 1/2 1/8 1 $5 Catcher's model 3/2 1/4 1/2 $7 Assuming that the company is interested in maximizing the total profit contribution, answer the following: (a) What is the linear programming model for this problem? If required, round your answers to 3 decimal places or enter your answers as a fraction. If the constant is "1" it must be entered in the box. Do not round intermediate calculation. If an amount is zero, enter "0". Let R = number of units of regular model. C = number of units of catcher's model. Max R + C s.t. R + C Cutting and Sewing R + C Finishing R + C Packing and Shipping R, C (b) Develop a spreadsheet model and find the optimal solution using Solver. How many gloves of each model should Kelson manufacture? Regular Model = units Catcher's Model = units (c) What is the total profit contribution Kelson can earn with the given production quantities? $ (d) How many hours of production time will be scheduled in each department? Department Production Time (Hours) Cutting and Sewing Finishing Packing and Shipping (e) What is the slack time in each department? If your answer is zero, enter “0”. Department Slack Time (Hours) Cutting and Sewing Finishing Packing and Shipping

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 900 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 400 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table:

Production Time (Hours)
Model	Cutting and Sewing	Finishing	Packaging and Shipping	Profit/Glove
Regular model	1/2	1/8	1	$5
Catcher's model	3/2	1/4	1/2	$7

Assuming that the company is interested in maximizing the total profit contribution, answer the following:

(a)

What is the linear programming model for this problem? If required, round your answers to 3 decimal places or enter your answers as a fraction. If the constant is "1" it must be entered in the box. Do not round intermediate calculation. If an amount is zero, enter "0".