Let's consider the marginal cost function C'(x) = -0.02x+27, where x represents the level of production and C' (x) represents the marginal cost. At the production level of 150 items, the cost is known to be $7,990.00. a. Compute C' (580). Round to the nearest cent. C' (580) $15.40 = per item b. Integrate C" (x) to find the cost function C (x). C(x) -0.01x²+27x+4165 c. Compute the integral C (580). Round to the nearest dollar. ☑ == C (580) = $12261

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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This was one of the problems in a review packet that was given to me in means of studying for my first unit exam that is coming up. Please help!

Let's consider the marginal cost function
C'(x) = -0.02x+27,
where x represents the level of production and C' (x) represents the marginal cost. At the production
level of 150 items, the cost is known to be $7,990.00.
a. Compute C' (580). Round to the nearest cent.
C' (580) $15.40
=
per item
b. Integrate C" (x) to find the cost function C (x).
C(x)
-0.01x²+27x+4165
c. Compute the integral C (580). Round to the nearest dollar.
☑
==
C (580) = $12261
Transcribed Image Text:Let's consider the marginal cost function C'(x) = -0.02x+27, where x represents the level of production and C' (x) represents the marginal cost. At the production level of 150 items, the cost is known to be $7,990.00. a. Compute C' (580). Round to the nearest cent. C' (580) $15.40 = per item b. Integrate C" (x) to find the cost function C (x). C(x) -0.01x²+27x+4165 c. Compute the integral C (580). Round to the nearest dollar. ☑ == C (580) = $12261
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