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) = -0.0013x^3 + 0.3x^2 + 8x -372. 1. Sketch a graph of P(x). Ensure all axes, intercepts and graph turns are viewable and properly labeled. 2. When just a few blenders are manufactured, the firm loses money (profit is negative). If the company sells 10 blenders, calculate how much profit or loss the company sustains. Show all work.

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
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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) = -0.0013x^3 + 0.3x^2 + 8x -372.

1. Sketch a graph of P(x). Ensure all axes, intercepts and graph turns are viewable and properly labeled.

2. When just a few blenders are manufactured, the firm loses money (profit is negative). If the company sells 10 blenders, calculate how much profit or loss the company sustains. Show all work.

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