Linear Programming Question 17

Question: The feasible region for an LPP is shown shaded in the figure. Let $ Z=3x-4y $ be the objective function. Minimum of Z occurs at

Options:

A) (0, 0)

B) (0, 8)

C) (5, 0)

D) (4, 10)

Show Answer

Answer:

Correct Answer: B

Solution:

Construct the following table of the values of the objective function:

corner point (0, 0) (5, 0) (6, 5) (6, 8) (4, 10) (0, 8)
Value of $ Z=3x-4y $ 0 15 -2 -14 -28 -32
(Maximum) (Minimum)