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(a) What is the linear programming model for this problem? (Assume R is the number of units of regular model gloves and C is the number of units of catcher's model gloves.) Max 8r + 9c s.t. R+C< 895 cutting and seving R+ C< 300 finishing packaging and shipping R+ C<100 001 5o + R. C20 (b) Find the optimal solution using the graphical solution procedure. How many gloves of each model should Kelson manufacture? regular model gloves catcher's model gloves

(a) What is the linear programming model for this problem? (Assume R is the number of units of regular model gloves and C is the number of units of catcher's model gloves.) Max 8r + 9c s.t. R+C< 895 cutting and seving R+ C< 300 finishing packaging and shipping R+ C<100 001 5o + R. C20 (b) Find the optimal solution using the graphical solution procedure. How many gloves of each model should Kelson manufacture? regular model gloves catcher's model gloves

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 895 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. Production Time (hours) Model Packaging and Shipping Cutting and Sewing Finishing Profit/Glove Regular model 1 $8 Catcher's model $9 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? (Assume R is the number of units of regular model gloves and C is the number of units of catcher's model gloves.) Max 8r + 9c s.t. R+C< 895 cutting and sewing finishing <300 008 53 + R+ C< 100 packaging and shipping R, C2 0 (b) Find the optimal solution using the graphical solution procedure. How many gloves of each model should Kelson manufacture? regular model gloves catcher's model gloves
Transcribed Image Text:Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 895 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. Production Time (hours) Model Packaging and Shipping Cutting and Sewing Finishing Profit/Glove Regular model 1 $8 Catcher's model $9 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? (Assume R is the number of units of regular model gloves and C is the number of units of catcher's model gloves.) Max 8r + 9c s.t. R+C< 895 cutting and sewing finishing <300 008 53 + R+ C< 100 packaging and shipping R, C2 0 (b) Find the optimal solution using the graphical solution procedure. How many gloves of each model should Kelson manufacture? regular model gloves catcher's model gloves
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