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"Consider the following LP problem:
Maximize profit = 1X1 + 1X2
Subject to 2X1 + 1X2 100
1X1 + 2X2 100
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 X1 to $3, would this affect the optimal solution?
c) Instead of an increase in the profit coefficient X1 to $3, suppose the profit was overestimated and should have only been $1.25. Does this change the optimal solution?
"
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