Marginal Average Cost for Producing Desks Custom Office makes a line of executive desks. It is estimated that the total cost for making x units of their Senior Executive model is represented by the following function, where C(x) is measured in dollars/year. Find the following functions (in dollars) and interpret your results. C(x) = 90x + 220,000 (a) Find the average cost function C. C(x) = (b) Find the marginal average cost function C'. C'(x) = (c) What happens to C(x) when x is very large? lim C(x) = Interpret your results. O This value is what the production level approaches if the average cost per unit is very high. This value is what the production level approaches if the average cost per unit is very low. This value is what the average cost per unit approaches if the production level is very high. O This value is what the average cost per unit approaches if the production level is very low.

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 Average Cost for Producing Desks Custom Office makes a line of executive desks. It is estimated that the total cost for making x units of their Senior
Executive model is represented by the following function, where C(x) is measured in dollars/year. Find the following functions (in dollars) and interpret your results.
C(x) = 90x + 220,000
(a) Find the average cost function C.
C(x) =
(b) Find the marginal average cost function C'.
C'(x) =
(c) What happens to C(x) when x is very large?
lim C(x) =
X 00
Interpret your results.
O This value is what the production level approaches if the average cost per unit is very high.
This value is what the production level approaches if the average cost per unit is very low.
This value is what the average cost per unit approaches if the production level is very high.
This value is what the average cost per unit approaches if the production level is very low.
Transcribed Image Text:Marginal Average Cost for Producing Desks Custom Office makes a line of executive desks. It is estimated that the total cost for making x units of their Senior Executive model is represented by the following function, where C(x) is measured in dollars/year. Find the following functions (in dollars) and interpret your results. C(x) = 90x + 220,000 (a) Find the average cost function C. C(x) = (b) Find the marginal average cost function C'. C'(x) = (c) What happens to C(x) when x is very large? lim C(x) = X 00 Interpret your results. O This value is what the production level approaches if the average cost per unit is very high. This value is what the production level approaches if the average cost per unit is very low. This value is what the average cost per unit approaches if the production level is very high. This value is what the average cost per unit approaches if the production level is very low.
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