Question

A company's profit, in thousands of dollars, on sales of computers is modelled by the function P(x) = -2 (x - 3)² + 50 where x is in thousands of computers sold. The company's profit, in thousands of dollars, on sales of streo systems is modelled by the functions P(x) = - (x-2) (x-7), where x is in thousands of stereo systems sold. Calculate the maximum profit the business can earn.

Answer 1

Provided these sales are independent of each other, you would graph the two functions and determine their maximums using your graphing calculator. The x-value of the maximum would be number of ____ sold, the y-value would be the associated profit.

Answer 2

If you're in calculus, you can do this process without a graphing calculator. Just ask...