Question

Question #90cf4

Answer 1

Value of `A` is maximum for `x=18` and `y=6` and its value is `756`.

Explanation:

From `x+3y=36`, `x=36-3y`

Hence `A=7xy=7y*(36-3y)=252y-21y^2`

After taking derivative of A and equating to `0`,

`252-42y=0`, so `y=6` and `x=36-3*6=18`

Thus, value of `A` is maximum for `x=18` and `y=6` and its value is `756`.