11. 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 7 sewing department, 300 hours 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: Production Time (hours) Model Cutting an Sewing Finishing Packaging and Shipping 1/8 1/4 Profit/Glove Regular model Catcher's model 1/2 1/3 $5 $8 1 3/2 Assuming that the company is interested in maximizing the total profit contribution, answer the following: Formulate the linear programming model for this problem. Find the optimal solution using the graphical solution procedure. How many gloves of each model should Kelson manufacturer? What is the total profit contribution Kelson can earn with the listed production quantities? How many hours of production time will be scheduled in each department?

11. 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 7 sewing department, 300 hours 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: Production Time (hours) Model Cutting an Sewing Finishing Packaging and Shipping 1/8 1/4 Profit/Glove Regular model Catcher's model 1/2 1/3 $5 $8 1 3/2 Assuming that the company is interested in maximizing the total profit contribution, answer the following: Formulate the linear programming model for this problem. Find the optimal solution using the graphical solution procedure. How many gloves of each model should Kelson manufacturer? What is the total profit contribution Kelson can earn with the listed production quantities? How many hours of production time will be scheduled in each department?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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