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A company's total cost, in millions of dollars, is given by C(t) = 120-60et 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. 150- a) The marginal cost, C'(t) b) C'(0) c) C'(6) 75- d) Find lim C(t) and lim C'(t). t→∞o t→∞0 0- 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.) 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) = $ million (Simplify your answer. Do not include the $ symbol in your answer.) lim C' (t) = $ per year (Simplify your answer. Do not include the $ symbol in your answer.) 00+1 00+1 0 15 30

A company's total cost, in millions of dollars, is given by C(t) = 120-60et 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. 150- a) The marginal cost, C'(t) b) C'(0) c) C'(6) 75- d) Find lim C(t) and lim C'(t). t→∞o t→∞0 0- 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.) 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) = $ million (Simplify your answer. Do not include the $ symbol in your answer.) lim C' (t) = $ per year (Simplify your answer. Do not include the $ symbol in your answer.) 00+1 00+1 0 15 30

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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-t A company's total cost, in millions of dollars, is given by C(t) = 120 - 60e 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). t→∞o 1→∞0⁰ 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.) 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) = $ million (Simplify your answer. Do not include the $ symbol in your answer.) lim C'(t) = $ per year 1→∞0 (Simplify your answer. Do not include the $ symbol in your answer.) 00+1 150- 75- 0 15 t 30
Transcribed Image Text:-t A company's total cost, in millions of dollars, is given by C(t) = 120 - 60e 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). t→∞o 1→∞0⁰ 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.) 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) = $ million (Simplify your answer. Do not include the $ symbol in your answer.) lim C'(t) = $ per year 1→∞0 (Simplify your answer. Do not include the $ symbol in your answer.) 00+1 150- 75- 0 15 t 30
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