Linear Programming Question 52

The maximum value of $ z=4x+2y $ subject to the constraints $ 2x+3y\le 18,\ x+y\ge 10 $ , $ x,\ y\ge 0 $ , is

[MP PET 2001]

Options:

36

40

20

D) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

After drawing the graph, we get the points on the region are (9, 0), (0, 6), (10, 0), (0, 10) and (12, 2).

But there is no feasible point as no point satisfies all the inequalities simultaneously.



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