Edwards Manufacturing Company purchases two component parts from three different

Question

Edwards Manufacturing Company purchases two component parts from three different suppliers. The suppliers have limited capacity, and no one supplier can meet all the company’s needs. In addition, the suppliers charge different prices for the components. Component price data (in price per unit) are as follows:

Each supplier has a limited capacity in terms of the total number of components it can supply. However, as long as Edwards provides sufficient advance orders, each supplier can devote its capacity to component 1, component 2, or any combination of the two components, if the total number of units ordered is within its capacity. Supplier capacities are as follows:

If the Edwards production plan for the next period includes 1000 units of component 1 and 800 units of component 2, what purchases do you recommend? That is, how many units of each component should be ordered from each supplier? Round your answers to the nearest whole number.

**Please awnser in this order**

1. State the decision variables

2. State the objective function

3. State the constraints

4. State in standard form

Supplier Component 1 2 3 1 $12 $13 $14 2 $10 $11 $10

Explanation / Answer

Let xij be the number of ith component (1,2) purchased from the jth (1,2,3) supplier. Min 12 x11 + 13x12 + 14 x13 + 10 x21 + 11x22 + 10x23 st Supplier capacities: x11 + x21

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