The total cost of manufacturing x units of Jichu figurines is given by C(x) =  100 x + 125000 + 1/2 x2 dollars. Using the concept of marginals, find: a. The production level will at which the average cost per unit manufactured is in the least? b. The marginal profit of 900 units production if they will be able to sell x = -2 p + 4200 units if the product is sold at p dollars.

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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The total cost of manufacturing x units of Jichu figurines is given by
C(x) =  100 x + 125000 + 1/2 x2 dollars. Using the concept of marginals, find:

a. The production level will at which the average cost per unit manufactured is in the least?

b. The marginal profit of 900 units production if they will be able to sell x = -2 p + 4200 units if the product is sold at p dollars.

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