where a represents the level of production and C' (a) represents the marginal cost. At the production level of 125 items, the cost is known to be $7,712.50. a. Compute C' (550). Round to the nearest cent. C' (550) = $ per item b. Integrate C'(x) to find the cost function C(x). C(x) = Preview c. Compute the integral C(550). Round to the nearest dollar. C(550) = $[

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let's consider the marginal cost function
C'(x) =
where a represents the level of production and C'(x) represents the marginal cost. At the production level of
125 items, the cost is known to be $7,712.50.
-0.04x + 29,
a. Compute C' (550). Round to the nearest cent.
C' (550) = $
per item
b. Integrate C'(x) to find the cost function C(x).
C(x) =
Preview
c. Compute the integral C(550). Round to the nearest dollar.
C(550) = $
Transcribed Image Text:Let's consider the marginal cost function C'(x) = where a represents the level of production and C'(x) represents the marginal cost. At the production level of 125 items, the cost is known to be $7,712.50. -0.04x + 29, a. Compute C' (550). Round to the nearest cent. C' (550) = $ per item b. Integrate C'(x) to find the cost function C(x). C(x) = Preview c. Compute the integral C(550). Round to the nearest dollar. C(550) = $
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