MATH 112 Final: MATH 112 UW spr15Final Solutions
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A (12) = a (12) are positive or negative and apply the second derivative test. Answer: t = 30 hours (d) hint: compute. , noting that a(9) a(4) = z 9. Answer: at t = 1. 46 hours, the levels are both falling. At t = 11. 87 hours, the levels are both rising. 2. (a) hint: read the graph of m c to nd m c(18). Answer: 5 dollars (b) hint: t r is maximized at the quantity where m r changes from positive to negative. Maximum t r is the area under the m r graph from q = 0 to q = 18. Answer: 108 thousand dollars (c) hint: compute the area between m r and m c from 0 to 3. T r(3) (t c(3) f c) = p (3) + f c. solve for f c. Answer: 26. 25 thousand dollars (d) hint: pro t is maximized at q = 12 since m r(12) = m c(12).
