2. The cost of producing, "whatever you wants" is given by the cost function C (x) = 500 + 350x – .09x² Find the actual cost of making the 301st "whatever you want" by finding C(301)- C(300) Now use marginal cost to approximate this and see how close your approximation is? (Don't forget, YOU DO NOT DO C'(301)... just a hint)

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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Please answer number 2 and show all work, thank you!!
c) For a unit price of 100 dollars what
happens when we increase price a little bit?
That is to say, what happens to the quantity
demanded when we increase the price a little
bit. Answer the same question for a unit price
of 300 dollars. (Your answer for both should
be in the form, a small increase in price from
(100 or 300) would lead to an (increase or
decrease) and the number you get is a
percent increase or decrease. For example is
your answer is 2 then that means 2%
increase. If you answer is 1/2, then that
means a 0.5% decrease in demand.
2. The cost of producing, "whatever you
wants" is given by the cost function
C (x) = 500 + 350x – .09x²
Find the actual cost of making the 301st
"whatever you want" by finding C(301)-
C(300)
Now use marginal cost to approximate this
and see how close your approximation is?
(Don't forget, YOU DO NOT DO C'(301)...
just a hint)
Transcribed Image Text:c) For a unit price of 100 dollars what happens when we increase price a little bit? That is to say, what happens to the quantity demanded when we increase the price a little bit. Answer the same question for a unit price of 300 dollars. (Your answer for both should be in the form, a small increase in price from (100 or 300) would lead to an (increase or decrease) and the number you get is a percent increase or decrease. For example is your answer is 2 then that means 2% increase. If you answer is 1/2, then that means a 0.5% decrease in demand. 2. The cost of producing, "whatever you wants" is given by the cost function C (x) = 500 + 350x – .09x² Find the actual cost of making the 301st "whatever you want" by finding C(301)- C(300) Now use marginal cost to approximate this and see how close your approximation is? (Don't forget, YOU DO NOT DO C'(301)... just a hint)
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