The marginal cost of a product is modeled by dC 16 %3D dx 16x + 9 where x is the number of units. When x = 17, C = 140. (a) Find the cost function. (Round your constant term to two decimal places.) C = (b) Find the cost (in dollars) of producing 60 units. (Round your answer to two decimal places.) $
The marginal cost of a product is modeled by dC 16 %3D dx 16x + 9 where x is the number of units. When x = 17, C = 140. (a) Find the cost function. (Round your constant term to two decimal places.) C = (b) Find the cost (in dollars) of producing 60 units. (Round your answer to two decimal places.) $
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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![**Marginal Cost Model**
The marginal cost of a product is modeled by the equation:
\[
\frac{dC}{dx} = \frac{16}{\sqrt[3]{16x + 9}}
\]
where \( x \) is the number of units. Given that when \( x = 17 \), \( C = 140 \).
**Tasks:**
(a) **Find the Cost Function**:
Determine the cost function \( C \). Please ensure to round your constant term to two decimal places.
- **C =** [Input box]
(b) **Calculate the Cost of Producing 60 Units**:
Compute the cost (in dollars) for producing 60 units. Round your answer to two decimal places.
- **$** [Input box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b1345f7-40ba-4002-bd52-465f781c0a73%2F26efea53-5e6a-4aed-8066-d9dd0db59f3c%2F4oap0k8_processed.png&w=3840&q=75)
Transcribed Image Text:**Marginal Cost Model**
The marginal cost of a product is modeled by the equation:
\[
\frac{dC}{dx} = \frac{16}{\sqrt[3]{16x + 9}}
\]
where \( x \) is the number of units. Given that when \( x = 17 \), \( C = 140 \).
**Tasks:**
(a) **Find the Cost Function**:
Determine the cost function \( C \). Please ensure to round your constant term to two decimal places.
- **C =** [Input box]
(b) **Calculate the Cost of Producing 60 Units**:
Compute the cost (in dollars) for producing 60 units. Round your answer to two decimal places.
- **$** [Input box]
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