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 − 0.0013x3 − 374. 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) = −265.30, so the firm loses $265.30 if it produces and sells only 10 blenders.) How many blenders must the firm produce to break even? (Round your answer to the integer that gives the company the least positive profit.) (b) Does profit increase indefinitely as more blenders are produced and sold? Yes No If not, what is the largest possible profit the firm could have? (Round your answer to the nearest cent. If an answer does not exist, enter DNE.) $
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 − 0.0013x3 − 374. 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) = −265.30, so the firm loses $265.30 if it produces and sells only 10 blenders.) How many blenders must the firm produce to break even? (Round your answer to the integer that gives the company the least positive profit.) (b) Does profit increase indefinitely as more blenders are produced and sold? Yes No If not, what is the largest possible profit the firm could have? (Round your answer to the nearest cent. If an answer does not exist, enter DNE.) $
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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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 − 0.0013x3 − 374.
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,
(b) Does profit increase indefinitely as more blenders are produced and sold?
If not, what is the largest possible profit the firm could have? (Round your answer to the nearest cent. If an answer does not exist, enter DNE.)
$
P(10) = −265.30,
so the firm loses $265.30 if it produces and sells only 10 blenders.) How many blenders must the firm produce to break even? (Round your answer to the integer that gives the company the least positive profit.)(b) Does profit increase indefinitely as more blenders are produced and sold?
Yes
No
If not, what is the largest possible profit the firm could have? (Round your answer to the nearest cent. If an answer does not exist, enter DNE.)
$
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