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Equivalent Uniform Annual Cost (EUAC)

EUAC converts costs to an equivalent annual cost for comparison.

$$EUAC=FC(i)+\frac{(FC-SV)i}{(1+i)^n-1}+OC$$

Problem 46: CE Board May 2019

A printing machine costs P400,000, has 10-year life, no salvage value, 10% interest, and P100,000 yearly operating cost. Compute EUAC.

$$EUAC=400000(A/P,10\%,10)+100000=165,098.16$$

Final answer: P165,098.16.

Problem 48: CE Board Nov. 2019

A dump truck costs P800,000, rents for P1,189 per day, salvage P100,000 after 5 years, annual maintenance P20,000, and money is worth 14%. Find days/year to warrant purchase.

$$Annual\ cost=237,898$$
$$1189x=237,898 \Rightarrow x=200$$

Final answer: 200 days per year.

Problem 50: CE Board Nov. 2016

Bridge maintenance over 20 years occurs as P1,000 at year 5, P2,000 at year 10, and P3,000 at year 15. At 10%, find equivalent uniform annual cost.

The equivalent present worth is about P2,110.

$$A=P(A/P,10\%,20)\approx 247.84$$

Final answer: about P248 per year.

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