Let's consider the marginal cost function C'(x) = -0.06x + 24. where a represents the level of production and C'(x) represents the marginal cost. At the production level of 175 items, the cost is known to be $8,246.25. a. Compute C' (530). Round to the nearest cent. C' (530) = $ per item b. Integrate C'(a) to find the cost function C(x). C(x) c. Compute the integral C(530). Round to the nearest dollar. C(530) = $

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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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) = -0.06x + 24.
where a represents the level of production and C'(x) represents the marginal cost. At the production
level of 175 items, the cost is known to be $8,246.25.
a. Compute C' (530). Round to the nearest cent.
C' (530) = $
per item
b. Integrate C'' (a) to find the cost function C(x).
C(x)
c. Compute the integral C(530). Round to the nearest dollar.
C(530) = $
Transcribed Image Text:Let's consider the marginal cost function C'(x) = -0.06x + 24. where a represents the level of production and C'(x) represents the marginal cost. At the production level of 175 items, the cost is known to be $8,246.25. a. Compute C' (530). Round to the nearest cent. C' (530) = $ per item b. Integrate C'' (a) to find the cost function C(x). C(x) c. Compute the integral C(530). Round to the nearest dollar. C(530) = $
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