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The production costs per week for producing xx widgets is given by, C(x) = 500+350x-0.09x² 0≤x≤1000 Answer each of the following questions. 1. What is the cost to produce the 301st widget? 2. What is the rate of change of the cost at x=300?

The production costs per week for producing xx widgets is given by, C(x) = 500+350x-0.09x² 0≤x≤1000 Answer each of the following questions. 1. What is the cost to produce the 301st widget? 2. What is the rate of change of the cost at x=300?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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RATE OF CHANGE Answer the following. Thanks, show your solution.
The production costs per week for producing xx widgets is given by, C(x) = 500+350x-0.09x² 0≤x≤1000 Answer each of the following questions. 1. What is the cost to produce the 301st widget? 2. What is the rate of change of the cost at x=300?
Transcribed Image Text:The production costs per week for producing xx widgets is given by, C(x) = 500+350x-0.09x² 0≤x≤1000 Answer each of the following questions. 1. What is the cost to produce the 301st widget? 2. What is the rate of change of the cost at x=300?
Solution 1. Substitute X = 301 to the Cost Function. 2. Find C'(x) at 300.
Transcribed Image Text:Solution 1. Substitute X = 301 to the Cost Function. 2. Find C'(x) at 300.
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