MAT 284 Final: MAT284-2012Spring

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9 Jan 2019
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Verify that your exam has all the pages: show all necessary work neatly and clearly for full credit. Showing work is also bene cial: do not write below. in receiving partial credit where applicable. Q score out of q score out of. 8 (1) for a product, its demand and supply functions are, respectively: q = d(p) = 5100 40p . q = s(p) = 100 + 60p . (a) (5 points) find the equilibrium point. Initially there was 700 g of the substance. 0. 5q + 60 + (a) find the revenue function and the cost function. (b) find the marginal revenue when q = 15. (c) find the marginal cost when q = 15. 7000 q (5) consumption c and income i of a region are related via the consumption function: 7x + 10 (b) lim x . 2x5 + 11x + 9 (7) (4 points each part) find the derivative f (x) for the functions below.