In: Math
7-31 Consider the following LP problem:
Maximize profit=5X+6Y
subject to2X+Y≤120, 2X+3Y≤240X,Y≥0
What is the optimal solution...
- 7-31 Consider the following LP problem:
Maximize profit=5X+6Y
subject to2X+Y≤120, 2X+3Y≤240X,Y≥0
- What is the optimal solution to this problem? Solve it
graphically.
- If a technical breakthrough occurred that raised the profit per
unit of X to $8, would this affect the optimal
solution?
- 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?
- 7-32 Consider the LP formulation given in Problem 7-31. If the
second constraint is changed from 2X + 3Y≤2402X + 3Y≤240 to
2X+4Y≤240,2X+4Y≤240, what effect will this have on the optimal
solution?