3. The marketing research department for a company that manufacturers and sells notebook computers established...
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3. The marketing research department for a company that manufacturers and sells notebook computers established the following revenue and cost functions: R(x) = x(2000 60x) C(x) = 4000 + 500x, where x is thousands of computers, and R(x) and C(x) are in thousands of dollars. Both functions have the domain 1 x 25. (1) Form a profit function P, and graph R, C, and P in the same rectangular coordinate system. (2) Discuss the relationship between the intersection points of the graphs of R and C and the x intercepts of P. (3) Find the x intercepts of P to the nearest hundred computers. Find the break-even points. (4) Refer to the graph drawn in part (1). Does the maximum profit appear to occur at the same output level as the maximum revenue? Are the maximum profit and maximum revenue equal? Explain.
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