(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

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
Problem 12.58TI: What is the total effect on the economy of a government tax rebate of $500 to each household in...
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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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