JEE MATHEMATICS MCQ: MAXIMA & MINIMA

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Application +4 | -1

The corner points of the feasible region determined by the following system of linear inequalities:

2 x+y \leq 10, x+3 y \leq 15, x, y \geq 0

are

(0,0),(5,0),(3,4)

and

(0,5)

. Let

Z=p x+q y

, where

p, q > 0

. Condition on

p

and

q

so that the maximum of

Z

occurs at both

(3,4)

and

(0,5)

View answer and explanation

Correct option: D

q=3 \mathrm{p}

Option D (q=3p) is correct because the maximum value of Z occurs at both (3,4) and (0,5), implying that Z has the same value at these points.

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