Consider the following LP problem developed at Jeff Spencer’s San Antonio optical scanning firm:
Maximize profit = $1X1 + $1X2
Subject to: 2X1 + 1X2 ≤ 100
1X1 + 2X1 ≤ 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 that profit was overestimated and should only have been $1.25. Does this change the optimal solution?