CE Board Exam Randomizer

⬅ Back to Engineering Economy Topics

Present Worth, Net Present Value, and Net Benefit Value

Present worth moves all project cash flows to time zero. NPV is benefits minus costs on a present-worth basis.

Problem 53: Milling Machine NPV

A machine costs P60,000, operating cost P2,675.40 per year, revenue P15,000 per year, life 7 years, and interest 8%. Find NPV.

$$A=15000-2675.40=12,324.60$$
$$P=12324.60(P/A,8\%,7)=64,166.42$$
$$NPV=64,166.42-60,000=4,166.43$$

Final answer: P4,166.43.

Problem 56: Benefit, Disbenefit, and NBV

A public works project has present-worth benefits of $75 M, costs of $55 M, and disbenefits of $15 M. Determine BCR treatments and NBV.

$$BCR=\frac{75-15}{55}=1.09$$
$$BCR=\frac{75}{55+15}=1.07$$
$$NBV=75-15-55=5$$

Final answer: project is economically acceptable.

Problem 57: Quick Fix vs Quality Fix

A facility may use quick-fix A or quality-fix B. At 10%, compare net present savings. Quick fix costs $7,000 with decreasing savings; quality fix costs $12,000 with $4,300 annual savings for 4 years.

Quick-fix net present savings is $1,301.26. Quality-fix net present savings is $1,630.46.

Final answer: choose quality-fix B by the larger net present savings.

Scroll to zoom