A company's total cost, in millions of dollars, is given by C(t) = 120-40e where t is the time in years since the start-up date. The graph of C(t) is shown to the right. Find each of the following. a) The marginal cost, C'(t) b) C'(0) c) C'(6) d) Find lim C(t) and lim C'(t). 1-00 118 a) C'(t) = (Do not include the $ symbol in your answer.) b) C'(0) = $ million per year (Simplify your answer. Do not include the $ symbol in your answer.) THREA million c) C'(6)= $ per year (Simplify your answer. Round to the nearest thousand as needed. Do not include the $ symbol in your answer.) d) lim C(t) = $ 110 (Simplify your answer. Do not include the $ symbol in your answer.) lim G')-S per year 1000

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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A company's total cost, in millions of dollars, is given by C(t) = 120-40e where t is the time in years since the start-up date. The
graph of C(t) is shown to the right. Find each of the following.
a) The marginal cost, C'(t)
b) C'(0)
c) C'(6)
d) Find lim C(t) and lim C'(t).
10
t-∞
a) C'(t) =
b) C'(0) = $ million per year
(Simplify your
(Do not include the $ symbol in your answer.)
21
answer. Do not include the $ symbol in your answer.)
c) C'(6)= $ per year
(Simplify your answer. Round to the nearest thousand as needed. Do not include the $ symbol in your answer.)
million
d) lim C(t) = $
1-∞
(Simplify your answer. Do not include the $ symbol in your answer.)
lim C'(t) = $ per year
Ay
150-
75-
O
15
30
Q
Transcribed Image Text:A company's total cost, in millions of dollars, is given by C(t) = 120-40e where t is the time in years since the start-up date. The graph of C(t) is shown to the right. Find each of the following. a) The marginal cost, C'(t) b) C'(0) c) C'(6) d) Find lim C(t) and lim C'(t). 10 t-∞ a) C'(t) = b) C'(0) = $ million per year (Simplify your (Do not include the $ symbol in your answer.) 21 answer. Do not include the $ symbol in your answer.) c) C'(6)= $ per year (Simplify your answer. Round to the nearest thousand as needed. Do not include the $ symbol in your answer.) million d) lim C(t) = $ 1-∞ (Simplify your answer. Do not include the $ symbol in your answer.) lim C'(t) = $ per year Ay 150- 75- O 15 30 Q
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