Linear Programming Question 13

Question: For the L.P. problem Min $ z=2x-10y $ subject to $ x-y\ge 0,\ \ x-5y\ge -5 $ and $ x,\ y\ge 0 $ , $ z= $

Options:

A) -10

B) -20

C) 0

D) 10

Show Answer

Answer:

Correct Answer: A

Solution:

After drawing the graph, we get the minimum value of z at points (-5, 0), (0, 1) and (5/4, 5/4) and Min $ z=2(0)-10(1)=-10 $ .