1Formulate the following problem. Do not solve.

The production manager for Beer etc. produces 2 kinds of beer: light (L) and dark (D). Two

resources used to produce beer are malt and wheat. He can get at most 4800 oz of malt per

week and 3200 oz of wheat per week. Each bottle of light beer requires 12 oz of malt and 4 oz of

wheat, while a bottle of dark beer uses 8 oz of malt and 8 oz of wheat. Profits for light beer are

$2 per bottle, and profits for dark beer are $1 per bottle. What is the linear programming model

for this problem?

2.

Solve the following problem using the graphical method:

Min 5X + 6Y

s.t. 3X + Y > 15

X + 2Y > 12

3X + 2Y > 24

X , Y > 0