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HW9 solutions (1).docx

# HW9 solutions (1).docx - CAE419 Introduction to...

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CAE419 Introduction to Transportation Engineering and Design Semester Fall 2017 Homework 9: Engineering Economics and Project Evaluation 1. Find F given P and i F = P ( F / P, 12 , 5 ) = 1000 ( 1 + 12 ) 5 = 1762.34 2. Find F given P and i F = P ( F / P, 6 , 12 ) = 1000 ( 1 + 6 ) 12 = 2012.2 3. Find i based on P, A, and n Solve 800 = 222 ( P A ,i, 5 ) for i 800 222 ( 1 + i ) 5 1 i ( 1 + i ) 5 = 0 i = 12 4. Find P given F P = F ( P / F , 6 , 12 ) = 1000 / ( 1 + 6 ) 12 = 496.969 5. Find A given P A = P ( A / P, 12 , 4 ) = P i ( 1 + i ) 4 ( 1 + i ) 4 1 = 2000 0.12 ( 1 + 0.12 ) 4 ( 1 + 0.12 ) 4 1 = 658.469 6. In sum Year 0 1 2 3 4 5 Profit/cost (\$) -35,000 10,000 8,000 9,000 7,000 10,000 Present Worth -35000 8928.57 6377.55 6406.02 4448.63 5674.27 Total=-3164.96 7. Project A: Annual Equivalent Cost: 30000*(A/P,12%,8)+2000+6000=14039.1 Project B: Annual Equivalent Cost: 36000*(A/P,12%,8)+2500+7000=16746.9

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• Spring '14
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