Consider the following LP problem developed at Jeff Spencer’s San Antonio optical scanning

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

1. What is the optimal solution to this problem? Solve it graphically.
2. If a technical break through occurred that raised the profit per unit of X₁ to$3, would this affect the optimal solution?
3. 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?