A company manufactures microchips. Use the revenue function R(x) = x(75-3x) and the cost function C(x) = 125+14x to answer parts (A) through (D), where x is in millions of chips and R(x) and C(x) are in millions of dollars. Both functions have domain 1≤ x ≤ 20.
(D) Find the value of x (to the nearest thousand chips) that produces the maximum profit. Find the maximum profit (to the nearest thousand dollars), and compare it to the maximum revenue. (fill in blank)
(1) The maximum profit occurs at x = _____ million chips
(2) The maximum profit is _____ million dollars
(3) The maximum revenue is _____ million dollars
(4) The maximum profit is (smaller, greater, or equal?) to the maximum revenue.
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