Chapter 2 - MDC Faculty Home Pages
Chapter 2 - MDC Faculty Home Pages
Chapter 2 - MDC Faculty Home Pages
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74) P(x) = -x3 + 27<br />
2 x2 - 60x + 100, x ≥ 5 is an approximation to the total profit (in thousands of dollars)<br />
from the sale of x hundred thousand tires. Find the number of tires that must be sold to maximize<br />
profit.<br />
A) 550,000 B) 500,000 C) 500,000 D) 450,000<br />
75) In a certain state, the rate (per 500,000 inhabitants) at which automobiles were stolen each year<br />
during the years 1990 - 2000 are given in the figure. Consider the closed interval [1990, 2000].<br />
Rate per 500K People<br />
300<br />
250<br />
200<br />
150<br />
100<br />
50<br />
A<br />
B<br />
C<br />
D<br />
E<br />
F<br />
1990 1992 1994 1996 1998 2000<br />
Year<br />
A (1990, 171) D (1993, 282) G (1996, 188) L (1999, 238)<br />
B (1991, 204) E (1994, 211) H (1997, 258) M (2000, 271)<br />
C (1992, 255) F (1995, 141) K (1998, 247)<br />
Give all relative maxima and minima on the interval and the years when they occur.<br />
A) Relative maxima of 282 in 1993, 258 in 1997, 271 in 2000<br />
Relative minima of 171 in 1990, 141 in 1995, 238 in 1999<br />
B) Relative maxima of 282 in 1993 and 258 in 1997<br />
Relative minima of 141 in 1995 and 238 in 1999<br />
C) Relative maxima of 282 in 1993, 258 in 1997, 271 in 2000<br />
Relative minima of 141 in 1995 and 238 in 1999<br />
D) Relative maxima of 282 in 1993 and 258 in 1997<br />
Relative minima of 171 in 1990, 141 in 1995, 238 in 1999<br />
G<br />
H<br />
21<br />
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K<br />
L<br />
M<br />
74)<br />
75)
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