87. Market Research A market analyst working for a small- appliance manufacturer finds that if the firm produces and sells x blenders annually, the total profit (in dollars) is P(x) = 8x + 0.3x² – 0.0013x - 372 %3D Graph the function P in an appropriate viewing rectangle and use the graph to answer the following questions. (a) When just a few blenders are manufactured, the firm loses money (profit is negative). (For example, P(10) = -263.3, so the firm loses $263.30 if it pro- duces and sells only 10 blenders.) How many blenders must the firm produce to break even? (b) Does profit increase indefinitely as more blenders are produced and sold? If not, what is the largest possible profit the firm could have?
87. Market Research A market analyst working for a small- appliance manufacturer finds that if the firm produces and sells x blenders annually, the total profit (in dollars) is P(x) = 8x + 0.3x² – 0.0013x - 372 %3D Graph the function P in an appropriate viewing rectangle and use the graph to answer the following questions. (a) When just a few blenders are manufactured, the firm loses money (profit is negative). (For example, P(10) = -263.3, so the firm loses $263.30 if it pro- duces and sells only 10 blenders.) How many blenders must the firm produce to break even? (b) Does profit increase indefinitely as more blenders are produced and sold? If not, what is the largest possible profit the firm could have?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.2: Polynomial Functinos And Their Graphs
Problem 87E
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