ABC Soccer Inc. makes two different types of soccer balls: a regular model and a deluxe model. The firm has 900 hours of production time available in the cutting and sewing department, 300 hours available in the finishing department, 100 hours available i

ABC Soccer Inc. makes two different types of soccer balls: a regular model and a deluxe model. The firm has 900 hours of production time available in the cutting and sewing department, 300 hours available in the finishing department, 100 hours available i


ABC Soccer Inc. makes two different
types of soccer balls: a regular model and a deluxe model. The firm has 900
hours of production time available in the cutting and sewing department, 300
hours available in the finishing department, 100 hours available in the
packaging and shipping department. The
production time requirements and the profit contribution per ball as following:

Production Time (hours)

Model

Cutting and Sewing

Finishing

Packaging and Shipping

Profit/Ball

Regular

1.00

0.50

0.13

$ 5.00

Deluxe

1.50

0.33

0.25

$ 8.00

ABC Soccer Inc. is interested in maximizing
total profit contribution. Answer the following:

a.
What is the linear programming model
for this problem? (2 marks)

b.
Find the optimal solution using the
graphical solution procedure. How many balls of each model should ABC make? (7
marks)

c.
What is the total profit contribution
ABC Soccer Inc. can earn with the given production quantities? (2 marks)

d.
How many hours of production time will
be scheduled for each department? (2 marks)

e.
What is the slack time in each
department?

Price: £ 45

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