QMB6755 HW1.docx

# QMB6755 HW1.docx - Homework 1 1 Decision variables A=...

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Homework 1 1. Decision variables: A= Number of Model A Motors B= Number of Model B Motors A B Time available (hours) Wiring 3 2 240 Drilling 2 1 210 Assembly 1.5 .5 120 Profit \$22 \$15 Objective Function : Max Profit 22A + 15B Constraints : Graph: Wiring: 3A + 2B <= 240 Drilling: 2A + B <= 210 Assembly: 1.5A + .5B <= 120 Non-negativity: A >= 24 B >= 0 Optimum Solution: Corner Points: (0,24) (0,80) (84,24) 22(24) + 15(0)= 528 22(80) + 15(0)= 1760 22(24) + 15(84)= 1788 2. Decision Variables: X= Initial Investment in dollars in Carolina Solar Power Y= Initial Investment in dollars in Southwest Steel Carolina (x) Southwest (y) Min investment

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growth/year Short-term
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