A recently installed machine earns the company revenue at a continuous rate of 60,000t + 45,000 dollars per year during the f six months of operation and at the continuous rate of 75,000 dollars per year after the first six months. The cost of the machine $153,000, the interest rate is 7% per year, compounded continuously, and t is time in years since the machine was installed. (a) Find the present value of the revenue earned by the machine during the first year of operation. Round your answer to the nearest integer. $ 65022 (b) Find how long it will take for the machine to pay for itself; that is, how long it will take for the present value of the revenue to equal the cost of the machine?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter9: Capital Budgeting And Cash Flow Analysis
Section: Chapter Questions
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A recently installed machine earns the company revenue at a continuous rate of 60,000t + 45,000 dollars per year during the first
six months of operation and at the continuous rate of 75,000 dollars per year after the first six months. The cost of the machine is
$153,000, the interest rate is 7% per year, compounded continuously, and t is time in years since the machine was installed.
(a) Find the present value of the revenue earned by the machine during the first year of operation.
Round your answer to the nearest integer.
65022
(b) Find how long it will take for the machine to pay for itself; that is, how long it will take for the present value of the revenue to
equal the cost of the machine?
Round your answer to two decimal places.
1.69
years
Transcribed Image Text:A recently installed machine earns the company revenue at a continuous rate of 60,000t + 45,000 dollars per year during the first six months of operation and at the continuous rate of 75,000 dollars per year after the first six months. The cost of the machine is $153,000, the interest rate is 7% per year, compounded continuously, and t is time in years since the machine was installed. (a) Find the present value of the revenue earned by the machine during the first year of operation. Round your answer to the nearest integer. 65022 (b) Find how long it will take for the machine to pay for itself; that is, how long it will take for the present value of the revenue to equal the cost of the machine? Round your answer to two decimal places. 1.69 years
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