Question: Graph the following LP problem and indicate the optimal solution point: Maximize profit = $3X + $2Y subject to 2X + y 150 2X +

Graph the following LP problem and indicate the

optimal solution point:

Maximize profit = $3X + $2Y

subject to

2X +

y 150

2X + 3Y = 300

  1. Does the optimal solution change if the profit per unit of X changes to $4.50?
  2. What happens if the profit function should have been $3X + $3Y?
 Graph the following LP problem and indicate the optimal solution point:

Consider the following LP problem: Maximizeprofit=subjectto5X+6Y2X+Y1202X+3Y240X,Y0 (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 X to $8, would this affect the optimal solution? (c) 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

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