7. Amarket 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 – 372 Graph the function P in an appropriate viewing window on your calculator and use the graph to answer the following questions. a. When just a few blenders are manufactured, the firm loses money (profit is negative). How many blenders must the firm produce to break even? b. Describe how the profit changes as more blenders are produced and sold. What is the largest possible profit the firm could have? C.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 50PFA
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Can you please do A,B,C, and D

7. 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 + 0.3x? – 0.0013x³ – 372
Graph the function P in an appropriate viewing window on your calculator and use the graph to
answer the following questions.
a. When just a few blenders are manufactured, the firm loses money (profit is negative). How
many blenders must the firm produce to break even?
b. Describe how the profit changes as more blenders are produced and sold.
c. What is the largest possible profit the firm could have?
d. Over what intervals is the graph of P (x) concave up? Concave down? Increasing?
Decreasing? Use interval notation.
Transcribed Image Text:7. 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 + 0.3x? – 0.0013x³ – 372 Graph the function P in an appropriate viewing window on your calculator and use the graph to answer the following questions. a. When just a few blenders are manufactured, the firm loses money (profit is negative). How many blenders must the firm produce to break even? b. Describe how the profit changes as more blenders are produced and sold. c. What is the largest possible profit the firm could have? d. Over what intervals is the graph of P (x) concave up? Concave down? Increasing? Decreasing? Use interval notation.
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