Calculus Business Application Worksheet 1. A manufacturer makes fuel tanks for cars. The total weekly costs for the company to produce x tanks is C(x)=10000+90x-.05x² a. Find the marginal cost function. b. Use the marginal cost function to estimate the cost of the 501st tank. c. What is the cost to produce 400 tanks? d. Find the average cost to produce 700 tanks. e. Find the exact cost of the 501st tank.

Calculus: Early Transcendentals
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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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Calculus Business Application Worksheet
1. A manufacturer makes fuel tanks for cars. The total weekly costs for the company to
produce x tanks is C(x)=10000+90x–.05x
a. Find the marginal cost function.
b. Use the marginal cost function to estimate the cost of the 501st tank.
c. What is the cost to produce 400 tanks?
d. Find the average cost to produce 700 tanks.
e. Find the exact cost of the 501st tank.
Transcribed Image Text:Calculus Business Application Worksheet 1. A manufacturer makes fuel tanks for cars. The total weekly costs for the company to produce x tanks is C(x)=10000+90x–.05x a. Find the marginal cost function. b. Use the marginal cost function to estimate the cost of the 501st tank. c. What is the cost to produce 400 tanks? d. Find the average cost to produce 700 tanks. e. Find the exact cost of the 501st tank.
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