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:
Supplier
Component 1 2 3
1 $12 $13 $14
2 $10 $11 $10
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.
Supplier 1 2 3
Capacity 600 1000 800
Solve the following question using the Simplex Method.
If the Edwards production plan for the next period includes 1000 units of component 1 and 800 units of component 2, how many units of each component (C1, C2) should be ordered from each supplier (S1, S2, S3)?