Verify that the solution is indeed a local maximum

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Reference no: EM13337843

A company produces two products whose production levels are represented by x and y.  As a function of these two variables profit is given by:  

P(x,y)  =  900x  -  30x2  +  30xy  - 100y  -  10y2  +  2,000

a) What values of x and y maximize the profit?  

b) What is the maximum value of the profit?

c) Verify that the solution is indeed a local maximum.

Reference no: EM13337843

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