Use the revenue and cost functions from Problem 64 in this exercise: R(x) = x-(2,000 - 60x)

Question:

Use the revenue and cost functions from Problem 64 in this exercise:
R(x) = x-(2,000 - 60x) Revenue function
C(x) = 4,000 + 500x: Cost function
where x is thousands of computers, and R(x)and C(A:) are in thousands of dollars. Both functions have domain 1 ≤ x ≤ 25.
(A) Form a profit function P, and graph R, C, and P in the same rectangular coordinate system.
(B) Discuss the relationship between the intersection points of the graphs of R and C and the x intercepts of P.
(C) Find the x intercepts of P and the break-even points.
(D) Refer to the graph drawn in part (A). Does the maximum profit appear to occur at the same value of A- as the maximum revenue? Are the maximum profit and the maximum revenue equal? Explain.
(E) Verify your conclusion in part (D) by finding the value of A: that produces the maximum profit. Find the maximum profit and compare with Problem 62B.