Question: Consider the following linear programming problem. Min 7.50S + 9.00P s.t. 0.10S + 0.30P 6 (carbon constraint) 0.06S + 0.12P 3 (Kevlar constraint) S +

Consider the following linear programming problem.

Min 7.50S + 9.00P

s.t.

0.10S + 0.30P 6 (carbon constraint)

0.06S + 0.12P 3 (Kevlar constraint)

S + P = 30 (total constraint)

S, P 0

Draw the feasible region. How many corner (extreme) points exist in the feasible region? What are the values of S and P at each extreme point? Find the optimal solution using the graphical solution procedure.

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