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In: Business and Management

Submitted By jy2753
Words 1629
Pages 7
LP Assignment

This assignment will not be collected for a grade as it is the last assignment immediately prior to the exam.

Problems LP1, LP2, LP3, LP4, and B.10 are to be solved by the manual graphical method using an iso-Z line to either maximize or minimize the objective function whichever is appropriate.

LP1 The Really Big Shoe (RBS) is a manufacturer of basketball and football shoes. Ed must decide the best way to spend advertising resources. Each football team sponsored requires 120 pairs of shoes. Each basketball team requires 32 pairs of shoes. Football coaches receive $300,000 for shoe sponsorship and basketball coaches receive $1,000,000. Ed’s promotional budget is $30,000,000. The RBS has a limited supply (4 liters or 4000 cubic centimeters) of flubber, a rare and costly compound used in promotional athletic shoes. Each pair of basketball shoes requires 3 cc of flubber and each pair of football shoes requires 1 cc of flubber. Ed wants to sponsor as many basketball and football teams as resources will allow. What are the maximum number of teams that may be sponsored? Formulate the linear program. Solve it graphically.
Ans = 26.3 or 26 Basketball teams and 12.3 or 12 Football teams

LP2 Mile-High Brewery makes a light beer and a dark beer. Mile-High has a limited supply of barley, bottling capacity, and market for the light beer. Profits are $0.20 per bottle of light beer and $0.50 per bottle of dark beer. The table below shows the resource availability of products at the Mile-High Brewery. How many bottles of each product should be produced per month? Solve graphically. Ans = 3200 bottles Light beer and 2800 bottles Dark beer Product
| |Resource |Light Beer (X1)|Dark Beer (X2) |Resource Availability (per |
| |…...

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