Paramount Electronics has an annual profit given byP = -100,000 + 5,000q – 0.25q² dollars,where q is the number of laptop computers it sells each year. The number of laptop computers it can make and sell each year depends on the number n of electrical engineers Paramountemploys, according to the equationq = 30n + 0.01n2.dPUse the chain rule to finddnHINT [See Example 4.] (Round your answer to the nearest whole number.)n = 20dPdn In = 20Interpret the result.At an employment level ofengineers, Paramount will increase its profit at a rate of $per additional engineer hired.

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Answered: Paramount Electronics has an annual…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.3: Lines

Problem 92E

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The bar graph shows the number of fatal vehicle crashes per 100 million miles driven for drivers of various age groups.25-year-old drivers areinvolved in 4.1 fatal crashes per 100 million miles driven. Thus, when a group of 25-year-old Americans have driven a total of 100 million miles, approximately 4 have been in accidents in which someone died.The number of fatal vehicle crashes per 100 million miles, y, for drivers of age x can be modeled by the formulay = 0.013x2 - 1.19x + 28.24.Use the formula above and the bar graph.What age groups are expected to be involved in 10 fatal crashes per 100 million miles driven? How well does the formula model the trend in the actual data shown by the bar graph?
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The date of the first sighting of robins has been occurring earlier each spring over the past 25 years at a certain laboratory. Scientists from this laboratory have developed two linear equations, shown below, that estimate the date of the first sighting of robins, where x is the year and y is the estimated number of days into the year when a robin can be expected. Complete parts a and b. (Hint: 2000 was a leap year.) y=725-0.321x y=1558-0.735x A. Compare the date of first sighting in 2000 for each of these equations. March 23, March 28 B. Solve this system of equations to find the year in which the two estimates agree. Therefore, the year in which the two estimates agree is________.
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A baseball team plays in a stadium that holds 66000 spectators. With the ticket price at $11 the average attendence has been 30000. When the price dropped to $9, the average attendence rose to 33000. Assume that attendence is linearly related to ticket price.

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