Solve the problem.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 - 6xprice-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.
What will be an ideal response?
P(x) = -6x2 + 80.3x - 150, must sell approximately 6.69 million cameras.
Mathematics
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