Use the method of corners to solve the problem. Find the range of values that the coefficient of x can assume without changing the optimal solution.
Find the range of values that requirement 1 can assume.
Find the shadow price for requirement 1.
Identify the binding and nonbinding constraints.
A) x = 40, y = 20, P = 220
1
The first two constraints are binding; the third is nonbinding.
B) x = 40, y = 20, P = 230
1
The first two constraints are binding; the third is nonbinding.
C) x = 40, y = 20, P = 220
2
The first two constraints are binding; the third is nonbinding.
D) x = 20, y = 40, P = 220
1
The first two constraints are binding; the third is nonbinding.
Correct Answer:
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