Consider the following linear programming problem:
Maximize 40 X1 + 30 X2 + 60X3
Subject to: X1 + X2 + X3 ? 90
12 X1 + 8 X2 + 10 X3 ? 1500
X1 , X2 , X3 ? 0
How many slack, surplus, and artificial variables would be necessary if the simplex 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
D
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