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What is the range of values for the coefficient of x

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Reference no: EM132839881

1.Find the range of values for the coefficient of "y" in the objective function of question 1, so that the optimal solution remains unchanged.

2. Consider the following linear programing problem:

P = 2x + 3y subject to

2x + 5y ≤ 20 Resource 1

3x + 2y ≤ 17 Resource 2

as well as x ≥ 0 and y ≥ 0.

a) Use the method of corners (showing your graph and corner points) to solve this problem. (i.e. Find the number of x and y so that P is optimized) Hint: If you are dealing with a bounded area, then it is a maximizing problem.

b) Will the optimal solution you found in part "a" remain optimal if coefficient of x changes to 1 in the "objective function"? How do you know?

c) What is the range of values for the coefficient of x in the objective function to keep the optimal solution unchanged?

d) Will the solution remain optimal is amount of Resource 2 changes to 20? How do you know?

Reference no: EM132839881

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