Chapter 2 - MDC Faculty Home Pages

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71) f(x) = 4x + 8 Solve the problem. A) Absolute maximum: 8; no absolute minimum B) Absolute maximum: 4; no absolute minimum C) No absolute maximum; absolute minimum: 4 D) No absolute extrema 72) Assume that the temperature T of a person during a certain illness is given by T(t) = -0.1t2 + 1.3t + 98.6, 0 ≤ t ≤ 12 where T = the temperature (°F) at time t, in days. Find the maximum value of the temperature and when it occurs. Round your answer to the nearest tenth, if necessary. A) 102.8°F at 6.5 days B) 101.3°F at 5.2 days C) 101.8°F at 6.5 days D) 102.8°F at 3.9 days 73) The total-revenue and total-cost functions for producing x clocks are R(x) = 520x - 0.01x2 and C(x) = 120x + 100,000, where 0 ≤ x ≤ 25,000. What is the maximum annual profit? A) $4,100,000 B) $4,200,000 C) $4,000,000 D) $3,900,000 20 PDF Created with deskPDF PDF Writer - Trial :: http://www.docudesk.com 71) 72) 73)
74) P(x) = -x3 + 27 2 x2 - 60x + 100, x ≥ 5 is an approximation to the total profit (in thousands of dollars) from the sale of x hundred thousand tires. Find the number of tires that must be sold to maximize profit. A) 550,000 B) 500,000 C) 500,000 D) 450,000 75) In a certain state, the rate (per 500,000 inhabitants) at which automobiles were stolen each year during the years 1990 - 2000 are given in the figure. Consider the closed interval [1990, 2000]. Rate per 500K People 300 250 200 150 100 50 A B C D E F 1990 1992 1994 1996 1998 2000 Year A (1990, 171) D (1993, 282) G (1996, 188) L (1999, 238) B (1991, 204) E (1994, 211) H (1997, 258) M (2000, 271) C (1992, 255) F (1995, 141) K (1998, 247) Give all relative maxima and minima on the interval and the years when they occur. A) Relative maxima of 282 in 1993, 258 in 1997, 271 in 2000 Relative minima of 171 in 1990, 141 in 1995, 238 in 1999 B) Relative maxima of 282 in 1993 and 258 in 1997 Relative minima of 141 in 1995 and 238 in 1999 C) Relative maxima of 282 in 1993, 258 in 1997, 271 in 2000 Relative minima of 141 in 1995 and 238 in 1999 D) Relative maxima of 282 in 1993 and 258 in 1997 Relative minima of 171 in 1990, 141 in 1995, 238 in 1999 G H 21 PDF Created with deskPDF PDF Writer - Trial :: http://www.docudesk.com K L M 74) 75)
Page 1 and 2: MAC 2233 Group Activity/Review #2-C
Page 3 and 4: 7) 8) A) None B) Relative minimum o
Page 5 and 6: 14) f(x) = x2 + x A) 2x3/2 - 1 x3/2
Page 7 and 8: 20) f(x) = 2x3 + 3x2 - 12x - 2 A) R
Page 9 and 10: Determine where the given function
Page 11 and 12: Suppose that the function with the
Page 13 and 14: MULTIPLE CHOICE. Choose the one alt
Page 15 and 16: (x - 3)(2x + 5) 57) x-intercepts of
Page 17 and 18: Find the absolute maximum and absol
Page 19: Find the absolute maximum and absol
Page 23 and 24: 79) Find the maximum profit given t
Page 25 and 26: 85) A company finds that when it sp
Page 27 and 28: 94) 9x3 - x2y3 = 7 A) 27x2 - 2xy2 x
Page 29 and 30: Answer Key Testname: MAC2233-GA-CHP
Page 31 and 32: Answer Key Testname: MAC2233-GA-CHP

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