Question

eBook Calculator elson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 900 hours of roduction time available in its cutting and sewing department, 240 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 Regular model Catcher's model Production Time (hours) Cutting Packaging and Sewing Finishing and Shipping 1 1/2 1/8 3/2 1/3 1/2 Profit/Glove $8 $4 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? If your answer is zero, enter "0". If you need a negative number, enter minus sign with it. If necessary, enter the numbers as a common fraction. If the constant is "1" it must be entered in the box, Let R number of units of regular model. C-number of units of catcher's model. Max v V R- s.t. Cutting and sewing R- Finishing Packaging and Shipping ur Previous ChedMy Work 12:55 PM o

Answer 1

a) Let R = Number of units of regular model

Let C= Number of units of catcher's model

Linear programming model for the probkem is :

Max: $8R + $4C

Profit per glove for regular model is $8 & for catcher's model is $4 , we tried to maximise profit.

Subject to : $1R+ 3/2C \leq 900$

$1/2R + 1/3C \leq 240$

$1/8R + 1/2R\leq 100$

Number of hours available in cutting & sewing department is 900

Number of hours available in finishing department is 240

Number of hours available in packaging & shipping department is 100