The profit P, in thousand of dollars, that a manufacturer makes is a function of the number N of items produced in a year, and the formula is as follows. P = -0.2N² + 3.6N - 9 (a) Express using functional notation the profit at a production level of 3 items per year. P( Calculate that value. thousand dollars (b) Determine the two break-even points for this manufacturer-that is, the two production levels at which the profit is zero. N = (smaller value) N = (larger value) (c) Determine the maximum profit if the manufacturer can produce at most 17 in a year. thousand dollars

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