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 dollars/year. Find the following functions (in dollars) and interpret your results. C(x) 105x + 240,000 (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 average cost per unit approaches if the production level is very high. O This value is what the production level approaches if the average cost per unit is very high. O This value is what the average cost per unit approaches if the production level is very low. O This value is what the production level approaches if the average cost per unit is very low.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 49E
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EX 12

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)
dollars/year. Find the following functions (in dollars) and interpret your results.
C(x) = 105x + 240,000
(a) Find the average cost function C.
č(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) =
coex
Interpret your results.
O This value is what the average cost per unit approaches if the production level is very high.
O This value is what the production level approaches if the average cost per unit is very high.
O This value is what the average cost per unit approaches if the production level is very low.
O This value is what the production level approaches if the average cost per unit 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) dollars/year. Find the following functions (in dollars) and interpret your results. C(x) = 105x + 240,000 (a) Find the average cost function C. č(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) = coex Interpret your results. O This value is what the average cost per unit approaches if the production level is very high. O This value is what the production level approaches if the average cost per unit is very high. O This value is what the average cost per unit approaches if the production level is very low. O This value is what the production level approaches if the average cost per unit is very low.
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