The Financial Department of a Company That Produces Digital Cameras

Short Answer

The financial department of a company that produces digital cameras arrived at the following price-demand function and the corresponding revenue function:p(x) = 95.4 - 6x price-demandR(x) = x ∙ p(x) = x(95.4 - 6x) revenue functionThe function p(x) is the wholesale price per camera at which x million cameras can be sold and R(x) is the corresponding revenue (in million dollars). Both functions have domain 1 ≤ x ≤ 15. They also found the cost function to be C(x) = 150 + 15.1x (in million dollars) for manufacturing and selling x cameras. Find the profit function and determine the approximate number of cameras, rounded to the nearest hundredths, that should be sold for maximum profit.