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7-31 Consider the following LP problem:
Maximize profit = 5X + 6 Y
subject to 2X + Y < 120
2X + 3Y < 240
X, Y > 0
(a) What is the optimal solution to this problem?
Solve it graphically.
(b) If a technical breakthrough occurred that raised
the profit per unit of X to $8, would this affect
the optimal solution?
(c) Instead of an increase in the profit coefficient X
to $8, suppose that profit was overestimated and
should only have been $3. Does this change the
optimal solution?
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