Question

Find the maximum and minimum values of xy (a – x – y).

Answer 1

Answer:

Find the maximum and minimum value of xy(a-x-y)

Answer: we have local maximum at ( 1/3 , 1/3 )

Step-by-step explanation: F ( x ) = xy ( a-x-y ) F ( x ) = axy - x²y - xy² Taking partial derivative wrt x. F ' ( x ) = ay - 2xy - y² ...

y = 0 , y = a - 2x. Now taking F ' ( y ) = 0. F ' ( y ) = ax - x² - 2xy. Taking y = 0 [ as we got the value of y = 0 and a - 2x ]

Step-by-step explanation:

Hope it was helpful

Answer 2

Step-by-step explanation:

we have local maximum at ( 1/3 , 1/3 )

F ( x ) = xy ( a-x-y ) F ( x ) = axy - x²y - xy² Taking partial derivative wrt x. F ' ( x ) = ay - 2xy - y² ...

y = 0 , y = a - 2x. Now taking F ' ( y ) = 0. F ' ( y ) = ax - x² - 2xy. Taking y = 0 [ as we got the value of y = 0 and a - 2x ]

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