2. (20 points) You are working as an engineer for a company that makes two produ

Question

2. (20 points) You are working as an engineer for a company that makes two products, A and B. The e bet one products are made at three plants, in locations 1, 2, and 3. There are a limited amount of resources available at each plant to make the products. The following table summarizes the information you have Ceme Jers gathered. The table shows the amount used per product at each plant Product Plant 3 Profit per Unit B. Amount Available a. The plant manager wants to know how much of each product should be produced to maximize profits 12 Draw the appropriate graph to solve this problem.

Explanation / Answer

Scenario 1 If Product A Produced First Available Required per unit Units Can be produced Maximum units Balance amount Plant 1 9 2 4.5 3 3 Plant 2 6 1 6 3 3 Plant 3 12 4 3 3 0 Maximum units A can be produced = 3 Profit = Units * Per unit (3*3) = $9 Scenario 2 If Product B Produced Available Required per unit Units Can be produced Maximum units Balance amount Plant 1 9 1 9 3 6 Plant 2 6 2 3 3 0 Plant 3 12 3 4 3 3 Maximum units B can be produced = 3 Profit = Units * Per unit (3*4) = $12. Balance amount cant be utilised because plant 2 has no amount left 3 Units of Product B to be produced

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