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How many slack surplus and artificial variables would be

Consider the following LP problem:

Maximize Z = 40X1 + 30X2 + 60X3

Subject to: 1X1 + 1X2 + 1X3 => 90

12X1 + 8X2 + 10X3 =< 1500

X1, X2, X3 => 0

How many slack, surplus, and artificial variables would be necessary if the simplex method were used to solve this problem?

a. 3 slack, 3 surplus, and 3 artificial

b. 1 slack, 2 surplus, and 2 artificial

c. 1 slack, 4 surplus, and 4 artificial

d. 1 slack, 1 surplus, and 1 artificial

e. none of the above.

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Business Economics: How many slack surplus and artificial variables would be

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