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Sample Midterm1

Sample Midterm1 - MIDTERM EXAM ADM 2302 C INTRODUCTIION TO...

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MIDTERM EXAM ADM 2302 C INTRODUCTIION TO MANAGEMENT SCIENCE PROFESSOR: Rim Jaber Duration: 90 minutes Question # 1 (6 points) : Find the complete optimal solution to this Linear Programming problem. Min Z = 3x1 + 3x2 Subject to 12x1 + 4x2 >= 48 10x1 + 5x2 >= 50 4x1 + 8x2 >= 32 x1, x2 >= 0 Question # 2 (12 points) : A company produces tools at two plants and sells them to three customers. The cost of producing 1000 tools at a plant and shipping them to a customer is given in Table below: Customer1 Customer2 Customer3 Plant 1 \$60 \$30 \$160 Plant 2 \$130 \$70 \$170 Customers 1 and 3 pay \$200 per thousand tools; customer 2 pays \$150 per thousand tools. To produce 1000 tools at plant 1, 200 hours of labour are needed, while 300 hours are needed at plant 2. A total of 5500 hours of labour are available for use at the two plants. Additional labour hours can be purchased at \$20 per labour hour. Plant 1 can produce up to 10,000 tools and plant 2, up to 12,000 tools. Demand by each customer is assumed unlimited.

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If we let Xij = number of tools ( in thousands ) produced at plant i and shipped to customer j, and L = number of additional hour purchased.
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Sample Midterm1 - MIDTERM EXAM ADM 2302 C INTRODUCTIION TO...

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