Nippon Steel's expenses for heating and cooling a large manufacturing facility are expected to increase according to an arithmetic gradient beginning in year 2. If the cost is $550,000 this year (year 0) and will be $550,000 again in year 1, but then it is estimated to increase by $45,000 each year through year 12, what is the equivalent annual worth in years 1 to 12 of these energy costs at an interest rate of 11% per year? The equivalent annual worth is determined to be $

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 46P
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Nippon Steel's expenses for heating and cooling a large manufacturing facility are expected to increase according to an arithmetic
gradient beginning in year 2. If the cost is $550,000 this year (year 0) and will be $550,000 again in year 1, but then it is estimated
to increase by $45,000 each year through year 12, what is the equivalent annual worth in years 1 to 12 of these energy costs at an
interest rate of 11% per year?
The equivalent annual worth is determined to be $
Transcribed Image Text:Nippon Steel's expenses for heating and cooling a large manufacturing facility are expected to increase according to an arithmetic gradient beginning in year 2. If the cost is $550,000 this year (year 0) and will be $550,000 again in year 1, but then it is estimated to increase by $45,000 each year through year 12, what is the equivalent annual worth in years 1 to 12 of these energy costs at an interest rate of 11% per year? The equivalent annual worth is determined to be $
Expert Solution
Step 1
Computation of Present Worth
Year Cash Flow ($) PV Factor @11% Discounted Cash Flows ($)
  (A) (B) (A) x (B)
0 550,000 1.0000 550,000
1 550,000 0.9009 495,495
2 595,000 0.8116 482,902
3 640,000 0.7312 467,968
4 685,000 0.6587 451,210
5 730,000 0.5935 433,255
6 775,000 0.5346 414,315
7 820,000 0.4817 394,994
8 865,000 0.4339 375,324
9 910,000 0.3909 355,719
10 955,000 0.3522 336,351
11 1,000,000 0.3173 317,300
12 1,045,000 0.2858 298,661
    PW ($) = 5,373,494

 

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