Question: Consider the following financial problem: Maximize profit = $2X1 + $3X2 Subject to 6X1 + 9X2 18 9X1 + 3X2 9 X1, X2

Consider the following financial problem:

Maximize profit = $2X1 + $3X2

Subject to 6X1 + 9X2 ≤ 18

9X1 + 3X2 ≥ 9

X1, X2 ≥ 0

(a) Find the optimal solution using the simplex method.

(b) What evidence indicates that an alternate optimal solution exists?

(c) Find the alternate optimal solution.

(d) Solve this problem graphically as well, and illustrate the alternate optimal corner points.


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