Use a graphing calculator to do Exercise.
Business Plastic racks for holding compact discs sell for $23 each. The cost of manufacturing x racks is given by C(x) = −.000006x3 + .07x2 + 2x + 1200. A maximum of 600 racks can be produced.
(a) Find the revenue and profit functions.
(b) What is the break-even point?
(c) What is the maximum number of racks that can be made without losing money?
(d) How many racks should be made in order to have as large a profit as possible? What is that profit?
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