4 Gepbab Corporation produces three products at two different plants. The cost of producing a unit at each plant is shown in Table 6. Each plant can produce a total of 10,000 units. At least 6,000 units of product 1, at least 8,000 units of product 2, and at least 5,000 units of product 3 must be produced. To minimize the cost of meeting these demands, the following LP should be solved:

Here, xij number of units of product j produced at plant i. Use the LINDO output in Figure 9 to answer the following questions:
a What would the cost of producing product 2 at plant 1 have to be for the firm to make this choice?
b What would total cost be if plant 1 had 9,000 units of capacity?
c If it cost $9 to produce a unit of product 3 at plant 1, then what would be the new optimal solution?

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min z = s.t. 5x11 + 6x12+8x13 +8x21 + 7x22 + 10x23 x11 +12 + x13 S 10,000 X21 + x22 + x23 10,000 x11 + x21 6,000 X12 +x22 8,000 X13 + x23 = 5,000 All variables > 0