Consider the following LP problem:
Maximize profit = 5x + 6y
subject to 2x + y < 120
2x + 3y < 240
x,y > 0
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 coefficent x to $8, suppose that profit was overestimated and should have only been $3. Does this change the optimal solution?
Consider the above LP formulation. if the second constraint is changed from 2x + 3y <240 to 2x + 4y < 240, what affect will this have on the optimal solution?© BrainMass Inc. brainmass.com June 4, 2020, 3:03 am ad1c9bdddf
This solution shows how to calculate the optimal solution for a given LP problem.