The monthly profit, P(x), of a company is expected to change at the rate of 6,498 P'(x) = 3 – (2а — 3)2 - pesos per month, where x is the quantity produced and sold. If the company does not produce or sell anything (i.e. when x = 0), the profit is -1,080 pesos. a) Find the profit function P(a). b) How much is the profit per product when 30 products are sold?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
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The monthly profit, P(x), of a company is expected to change at the rate of
6,498
P'(x) = 3 –
(2x–3)²
-
pesos per month, where x is the quantity produced and sold. If the company does
not produce or sell anything (i.e. when x = 0), the profit is -1,080 pesos.
a) Find the profit function P(a).
b) How much is the profit per product when 30 products are sold?
Transcribed Image Text:The monthly profit, P(x), of a company is expected to change at the rate of 6,498 P'(x) = 3 – (2x–3)² - pesos per month, where x is the quantity produced and sold. If the company does not produce or sell anything (i.e. when x = 0), the profit is -1,080 pesos. a) Find the profit function P(a). b) How much is the profit per product when 30 products are sold?
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