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 hoursavailable 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)ModelPackaging andShippingCutting and SewingFinishingProfit/GloveRegular model1$8Catcher's model$9Assuming 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 + 9cs.t.R+C< 895cutting and sewingfinishing<300008 53 +R+ C< 100packaging and shippingR, C2 0(b) Find the optimal solution using the graphical solution procedure. How many gloves of each model should Kelson manufacture?regular modelglovescatcher's modelgloves

The optimal solution is, the regular model 500 gloves, the catchers model 150 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

(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

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 21T: A manufacturer produces two models of television stands. The table at the left shows the times (in...

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