Linear Programming Question 68

Question: The co-ordinates of the point for minimum value of $ z=7x-8y $ subject to the conditions $ x+y-20\le 0 $ , $ y\ge 5, $

$ x\ge 0 $ , $ y\ge 0 $ is

[DCE 2005]

Options:

A) (20, 0)

B) (15, 5)

C) (0, 5)

D) (0, 20)

Show Answer

Answer:

Correct Answer: D

Solution:

Obviously, $ z=7x-8y $ will be minimum at (0, 20) \ Min z = 7 × 0 ? 8 × 20 = -160.