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FINAL EXAM

# FINAL EXAM - MAT540 QUANTITATIVE METHOS FINAL EXAM For the...

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MAT540 QUANTITATIVE METHOS FINAL EXAM For the following problems, use Lingo10 or QM to solve. MUST include your solution screen shots. 1.0 Given the following linear programming problem: Min Z = 2x + 8y Subject to (1) 8x + 4y i 64 (2) 2x + 4y i 32 (3) y i 2 What is the minimal solution? The minimal Solution is 40 Use Lingo10 or QM to solve. Include your solution screen shots

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2.0 Max Z = \$0.30x + \$0.90y Subject to : 2x + 3.2y i 160 4x + 2y i 240 y i 40 x, y 0 i Solve for the quantities of x and y which will maximize Z. X=16 Y=40 Max Z = .30*16 + .90*40 = 40.8 What is the value of the slack variable associated with constraint 2? 96 Use Lingo10 or QM to solve. Include your solution screen shots 3.0 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 obtain at most 4800 oz of malt per week and at most 3200 oz of wheat per week respectively. 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.
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