A simplex tableau is shown below.





a. What is the current complete solution?

b. The 32/5 for z1 is composed of 0 + 8(4/5) + 0. Explain the meaning of this number.

c. Explain the meaning of the ?12/5 value for c 2 ? z2.


a. x1 = 0, x2 = 0, x3 = 8, s1 = 4, s2 = 0, s3 = 10, Z = 64

b. If we make one unit of x1, it will require 0.4 unit of s1, at no cost; 0.8 unit of x3 production will have to be foregone at a cost of 8 each; and 0.8 unit of s3 will be needed at no cost. In order to make a unit of x1, profit of 32/5 will be given up.

c. The profit for a unit of x2 is 4. However, in order to make a unit of x2, profit of 32/5 would be given up as resources are diverted. The net improvement is a loss, shown by the ?12/5. Therefore, it makes no sense to produce x2.

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