A company finds that the total cost of manufacturing x units of a certain product is given by C(x) = ;x² + 100x + 125000 pesos. a. What production level will result in the least average cost per unit manufactured? b. The company's research shows that if the product is sold at p pesos, they will be able to sell x = 4200 – 2p units. Find the marginal profit at a production level of 900 units.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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A company finds that the total cost of manufacturing x units of a certain product is given by
C(x) = x² + 100x + 125000 pesos.
a. What production level will result in the least average cost per unit manufactured?
b. The company's research shows that if the product is sold at p pesos, they will be able to sell
x = 4200 – 2p units. Find the marginal profit at a production level of 900 units.
Transcribed Image Text:A company finds that the total cost of manufacturing x units of a certain product is given by C(x) = x² + 100x + 125000 pesos. a. What production level will result in the least average cost per unit manufactured? b. The company's research shows that if the product is sold at p pesos, they will be able to sell x = 4200 – 2p units. Find the marginal profit at a production level of 900 units.
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