By Daniel A. Murray
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Additional resources for A First Course in Infinitesimal Calculus
95x, and the cost of producing x units is C ϭ 95x ϩ 750. To obtain a profit, the revenue must be greater than the cost. For what values of x will this product return a profit? 35. 50. ) and labor to produce each dozen doughnuts. If the daily profit varies between $60 and $270, between what levels (in dozens) do the daily sales vary? 36. Annual Operating Costs A utility company has a fleet of vans. 35m ϩ 2500, where m is the number of miles driven. The company wants the annual operating cost of each van to be less than $13,000.
5 where w is measured in pounds. Determine the interval on the real number line in which these weights lie. 45. Production The estimated daily production x at a refinery is given by 18. y is less than h units from c. ԽԽ Խ Խ Խ Խ 42. 15 by more than $2. Use absolute values to write this prediction as an inequality. Խ Խ Խ Խ Խ Խ 34. a Ϫ 2x < 1 3 5x > b, b > 0 2 Խx Ϫ 200,000Խ ≤ 25,000 where x is measured in barrels of oil. Determine the high and low production levels. 46. 75, where x is measured in ounces.
Explain your reasoning. x2 C ϭ 6x ϩ Copyright 2009 Cengage Learning, Inc. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. 1 AP/Wide World Photos Functions, Graphs, and Limits A graph showing changes in a company’s earnings and other financial indicators can depict the company’s general financial trends over time. ) Applications Functions and limit concepts have many real-life applications. The applications listed below represent a sample of the applications in this chapter.