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Question

Mathematics Question on Linear Programming Problem

Corner points of the feasible region determined by the system of linear constraints are (0, 3), (1, 1) and (3, 0). Let z = px + qy, where p, q > 0. Condition on p and q so that the minimum of z occurs at (3, 0) and (1, 1) is

A

p = 2q

B

p=q2p=\frac{q}{2}

C

p = 3q

D

p = q

Answer

p=q2p=\frac{q}{2}

Explanation

Solution

The correct answer is (B) : p=q2p=\frac{q}{2}.