a. Find the best fit quadratic model for the data listed above. b. Predict the weekly profit if the company charges $22 per unit. c. Predict the price(s) that would cause the company to just break even (to break even means the company would have a profit of $0).

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 93E: Alligators The length in inches and weight in pounds of 25 alligators is shown in the table. Find...
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3. Given the data table below answer the questions that follow.

Price per unit  5 10 15 20 25 30
weekly profit in thousands -8256 -1035 485 1400 820 -1200

a. Find the best fit quadratic model for the data listed above.

b. Predict the weekly profit if the company charges $22 per unit.

c. Predict the price(s) that would cause the company to just break even (to break even means the company would have a profit of $0).

d. According to your model what price would cause the company to have a maximum profit?

e. According to your model what is the company’s predicted maximum profit?

f. The company has decided that as long as they make at least $500 thousand in profit each week they will stay in business. What range of prices will allow them to reach this goal?

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