Question: Consider the following linear programming problem: Maximize 40 X1 + 30 X2 + 60X3 Subject to: X1 + X2 + X3 90 12 X1 +

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 = 20

X3 100

X1 , X2 , X3 0

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

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