1.

The maximum value of `xy` subject to `x +y=8` is :A. 8B. 16C. 20D. 24

Answer» Correct Answer - B
`x+y=8`
`A=xy`
`A=x(8-x)`
`A=8x-x_(2)`
`(dA)/(dX)= 8-2x`
`x =4`
`y =4`
`A= xy = 16`.


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