If the marginal revenue (in dollars per unit) for a month is given by MR = -0.3x + 400, what is the total revenue from the production and sale of 60 units?
If the marginal revenue (in dollars per unit) for a month is given by MR = -0.3x + 400, what is the total revenue from the production and sale of 60 units?
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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![**Evaluate the Integral**
**Objective:** Evaluate the integral. Use \( C \) for the constant of integration. Remember to use absolute values where appropriate.
**Integral to Solve:**
\[
\int \frac{8x^7}{x^8 - 4} \, dx
\]
**Instructions:**
Solve the integral by applying integration techniques. Be attentive to the function's domain and make use of absolute values as needed to ensure the expression inside logarithmic functions is positive. Ensure to include the constant of integration, denoted by \( C \), in your final answer.
**Note:** This problem involves integrating a rational function, which may require substitution or partial fraction decomposition depending on the form after simplification.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2442601b-b836-49c0-a398-5520e20f2138%2F32259a4e-a9c4-49fa-8629-2ee774062ea7%2Fw9fgm3_processed.png&w=3840&q=75)
Transcribed Image Text:**Evaluate the Integral**
**Objective:** Evaluate the integral. Use \( C \) for the constant of integration. Remember to use absolute values where appropriate.
**Integral to Solve:**
\[
\int \frac{8x^7}{x^8 - 4} \, dx
\]
**Instructions:**
Solve the integral by applying integration techniques. Be attentive to the function's domain and make use of absolute values as needed to ensure the expression inside logarithmic functions is positive. Ensure to include the constant of integration, denoted by \( C \), in your final answer.
**Note:** This problem involves integrating a rational function, which may require substitution or partial fraction decomposition depending on the form after simplification.
![If the marginal revenue (in dollars per unit) for a month is given by \( \overline{MR} = -0.3x + 400 \), what is the total revenue from the production and sale of 60 units?
\$ [Input Box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2442601b-b836-49c0-a398-5520e20f2138%2F32259a4e-a9c4-49fa-8629-2ee774062ea7%2Fuo8dj5j_processed.png&w=3840&q=75)
Transcribed Image Text:If the marginal revenue (in dollars per unit) for a month is given by \( \overline{MR} = -0.3x + 400 \), what is the total revenue from the production and sale of 60 units?
\$ [Input Box]
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