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An electronic company’s profit from selling x thousands of one product and y thousands of another...

An electronic company’s profit from selling x thousands of one product and y thousands of another is given by the formula in units of thousands of dollars:

P(x,y)=−2x2 +5xy−4y2 +7x+7y+200.
• Show that the profit P is maximized only at the point (x, y) = (13, 9) and determine the maximum profit.

• Using an appropriate differential determine approximately the profit lost if x is only 12.7 and y only 8.6.

Math   Calculus   
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