Break-Even The daily profit in dollars for a product isgiven by P(x) = -0.2x3 + 20.5x2 - 48.8x - 120,where x is the number of hundreds of units produced.To find the number of units that gives break-even,a. Graph the function on the window [0, 40] by[ -15, 20], and graphically find an x-intercept ofthe graph. b. Use synthetic division to find a quadratic factor ofP(x).c. Find all of the zeros of P(x).d. Determine the levels of production that givebreak-even.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Break-Even The daily profit in dollars for a product is
given by P(x) = -0.2x3 + 20.5x2 - 48.8x - 120,
where x is the number of hundreds of units produced.
To find the number of units that gives break-even,
a. Graph the function on the window [0, 40] by
[ -15, 20], and graphically find an x-intercept of
the graph.

b. Use synthetic division to find a quadratic factor of
P(x).
c. Find all of the zeros of P(x).
d. Determine the levels of production that give
break-even.

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