Posted by **joe** on Sunday, January 21, 2007 at 12:56pm.

Billy Jeans' profit is given by the equation y=2.7-.0000015(x-2550)^2, where x represents the number of units manufactured and y represents the profit given in millions of dollars. What is the maximum possible profit?

a) 2.55 billion dollars

b) -7.1 million dollars

c) 9.8 million dollars

d) 2.7 million dollars

Calculate dy/dx and set it equal to zero.

dy/dx = 1.5*10^-2*(x-2550)=0

x = 2550 at the maximum

Y (@ x=2550) = 2.7 million

The answer is (d)

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