Answer to Question #286978 in Operations Research for henok

Question

1. Bedele Brewery produces Ale and Beer. Suppose that the productions are limited by

scarce resources of Corn, Hops and Barely malt. To make Ale, 5 kg of Corn, 4 Kg of

Hops and 35 Kg of Barely malt are required. To make Beer, 15 Kg of Corn, 4 Km of

Hops and 20 Kg of Barely malt are required. Suppose that only 480 Kg of Corn, 160 Kg

of Hops and 1190 Kg of Barely malt are available. The Brewery plans to enjoy a Profit of

Birr 13 for each Kg of Ale and Birr 23 for each Kg of Beer.

Required:

A. Formulate the linear programming model

B. How many Ale and Beer should the Brewery Company produce in order to

maximize the returns? Using the graphical method.

C. What is the total profit?

D. Is there any slack? Identify