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)

## Answer this Question

## Related Questions

- Math - Linda owns a jeans store. Her montly profit p( x) dollars on the sale of ...
- Math( help please ! ) - The profit p(x) of a cosmetics company , in thousands of...
- math - The profit in dollars in producing x- items of some commodity is given by...
- Calculus - The rate of growth of the profit (in millions of dollars) from a new ...
- math - The profit P ( in dollars) for a manufacturer of sound systems is given ...
- algebra - show the algebraic inequality The profit for a company is determined ...
- math - Lynbrook West, an apartment complex, has 100 two-bedroom units. The ...
- Precalculus - Lynbrook West, an apartment complex, has 100 two-bedroom units. ...
- Calculus - Lynbrook West, an apartment complex, has 100 two-bedroom units. The ...
- Trig - Dalco manufacturing estimate that its weakly profit, P, in hundreds of ...