Consider the following LP problem developed at Jeff Spencer's San Antonio optical scanning firm:
Maximize profit = $1 X1+ $1 X2
Subject to: 2X1 + 1X2 ≤100
1X1+ 2 X2 ≤100
a) What is the optimal solution to this problem? Solve it graphically.
If a technical break through occurred that raised the profit per unit of X1 to$3, would this affect the optimal solution?
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?