Question

Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 400 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 200 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 and Sewing	Finishing	Packaging and Shipping	Profit/Glove
Regular model	1/8	1	1/2	$5
Catcher's model	1/2	1/2	3/2	$7

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 required, round your answers to 3 decimal places or enter your answers as a fraction. If the constant is "1" it must be entered in the box. Do not round intermediate calculation. If an amount is zero, enter "0"
	Let R = number of units of regular model. C = number of units of catcher's model.
	Max 5R + 7 C s.t. ***.3*** R + .5C - Select your answer -≤≥=Item 5   Cutting and Sewing 1 R + .5C - Select your answer -≤≥=Item 9   Finishing .5 R + 1.5 C - Select your answer -≤≥=Item 13   Packing and Shipping R, C - Select your answer -≤≥=Item 15

**** You don't need to do the entire problem I just need to know what the correct answer for that part is because it is telling me that *.3 is wrong* *****

Answer 1

R – number of units of regular model.

C – number of units of catcher’s model

. Max 5R + 7C

s.t

1/8 R + 1/2C ≤ 400 (cutting and sewing)

R + 1/2C ≤ 300 ( Finishing)

1/2R + 3/2C ≤ 200 (Packaging and shipping)

R,C ≥ 0

Install solver from add-ins in excel

Enter the data in spreadsheet

Keeping the decision variable row empty, calculate the total column.

Go to data -> solver from menu bar.

Select the cells in accordingly.

Targeted cell is the profit total

. Changing cell is the decision variable row.

Add constraints as:

Variable total ≤ max availability

Note: go to options, click ‘assume non-negativity’ and ‘assume linear model’.

Click ‘solve’ from main dialog box.

Regular model = 280 units

Catcher’s model = 40 units

Max profit = $ 1680

Hours of production time: