Linear-Programming Question 138

Question: The maximum value of $ P=x+3y $ such that $ 2x+y\le 20,x+2y\le 20,x\ge 0,y\ge 0 $ is

Options:

10

60

30

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Obviously, $ P=x+3y $ will be maximum at (0, 10).
$ \therefore P=0+3\times 10=30. $

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