SOLUTION: You are given a linear programming problem. Maximize P = 4x + 4y subject to 2x + 3y ≤ 12 Resource 1 2x + y ≤ 8 Resource 2 y ≥ 0 x ≥ 0 (a) Use the metho

Question 1201221: You are given a linear programming problem.
Maximize P = 4x + 4y
subject to 2x + 3y ≤ 12 Resource 1
2x + y ≤ 8 Resource 2
y ≥ 0
x ≥ 0
(a) Use the method of corners to solve the problem.
The maximum is P = __?__ at (x, y) = (__?__)

(b) Suppose P = cx + 4y. Find the range of values that the coefficient c of x can assume without changing the optimal solution.
__?__ ≤ c ≤ __?__

(c) Find the range of values that Resource 1 can assume.
__?__ ≤ (Resource 1) ≤ __?__

(d) Find the shadow price for Resource 1.
__?__
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

In this site, there is a lesson
- Solving minimax problems by the Linear Programming method
which teaches and explains on how to solve linear programming problems on the introductory level.

Read it and learn the subject from scratch.

This reading will be definitely enough to you to solve your problem (a) on your own.

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