Question: Consider the linear programming formulation below. Maximize 9T + 10S + 2P subject to the constraints T + S + P = 6 S

Consider the linear programming formulation below.

Maximize 9T + 10S + 2P
subject to the constraints

T + S + P = 6
S ≥ 3
T ≥ 1
P ≤ 3
T, S, P ≥ 0

This is a linear program with 3 variables. Rewrite this as an algebraically equivalent linear program that only has 2 variables. Then solve the problem graphically. What is the optimal solution (T, S, P), and what is the objective function value?

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