graphing calculator is recommended. 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 − 379. 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) = −270.30,  so the firm loses $270.30

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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A graphing calculator is recommended.

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 − 379.

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) = −270.30,
 so the firm loses $270.30 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?
YesNo    

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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