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Hi Rahul,
Yes ans is 220 as follows.
P=5x^2 + 11y^2
put y=8-x
we will get
P=16x^2-176x+704
So P will have a minimum value.And that min value will be at x=(-b)/2a = 176/32 = 11/2
Putting x=11/2 we get y=5/2
put these values in P=5x^2 + 11y^2
We will get Pmin=220.
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