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 $6,777.50. a. Compute C¹ (540). Round to the nearest cent. C' (540) = $[ per item 0.04x + 22, b. Integrate C'(x) to find the cost function C'(x). C(x) = Preview c. Compute the integral C(540). Round to the nearest dollar. C(540) = $

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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 $6,777.50.
a. Compute C¹ (540). Round to the nearest cent.
C' (540) = $[
per item
0.04x + 22,
b. Integrate C'(x) to find the cost function C'(x).
C(x) =
Preview
c. Compute the integral C(540). Round to the nearest dollar.
C(540) = $
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 $6,777.50. a. Compute C¹ (540). Round to the nearest cent. C' (540) = $[ per item 0.04x + 22, b. Integrate C'(x) to find the cost function C'(x). C(x) = Preview c. Compute the integral C(540). Round to the nearest dollar. C(540) = $
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