Sport O Rama 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 100 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table: MODEL Production time (hrs): Cutting & Sewing Production time (hrs): Finishing Production time (hrs): Packaging & Shipping Profit/Glove ($) REGULAR 1
Sport O Rama Equipment Inc., makes two different types of baseball gloves: a regular model and a catcher’s model. The firm has 900 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 100 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table: MODEL Production time (hrs): Cutting & Sewing Production time (hrs): Finishing Production time (hrs): Packaging & Shipping Profit/Glove ($) REGULAR 1
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Sport O Rama 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 100 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table:
| MODEL | Production time (hrs): Cutting & Sewing | Production time (hrs): Finishing | Production time (hrs): Packaging & Shipping | Profit/Glove ($) |
|---|---|---|---|---|
| REGULAR | 1 | 1/2 | 1/8 | $ 5 |
| CATCHER'S | 3/2 | 1/3 | 1/4 | $ 8 |
Assume that Sports O Rama Equipment Inc. is interested in maximizing the total profit contribution, answer the following:
- What is the linear programming model for this problem?
- Find the optimal solution using the graphical solution procedure. How many gloves of each model should Sports O Rama Equipment Inc. manufactures?
- What is the total profit contribution Sports O Rama Inc. can earn with the given production quantities?
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