A site on a major river is being evaluated for a new lock and dam for navigation purposes. Two options are considered: (a) single 1200-foot lock or (b) single 1200-foot lock and a single 600-foot lock (two locks, side by side). Benefits and costs of the two options are indicated in the table. Interest rate to be used is 7%, and the planning period is 50 years. Initial cost Annual operating cost Annual benefit Single Lock ($ million) 60.0 1.0 12.0 Double Locks ($ million) 85.0 1.5 16.0 (a-5 pts) Show the cash flow table for both options. (You may show only for the first three years as the same numbers will repeat for the remaining planning period.) (b-10 pts) Solve by the present worth method. (c-10 pts) Solve by the annual cash flow method. (d-10 pts) Solve by the incremental benefit-cost ratio method. (e-5 pts) Check your solutions for (b), (c), and (d). Are they different? Explain.

A small section of a highway can be dealt with in three different ways: (1) it can be left as it is (do nothing), (2) an embankment/bridge combination can be used; or (3) a cutting tunnel combination can be provided. Using whatever method is suitable, determine the alternative that has the best financial advantage. The interest rate for the investment is 5% per year. Alternative Life Initial cost Maintenance As is (do-nothing) Perpetual $35,000/yr Embankment/bridge Case (a) perpetual $170,000 $1,000/yr Case (b) 50 years $200,000 $2,000/yr Cutting tunnel Case (a) perpetual $75,000 $700/yr Case (b) 50 years $300,000 $2,000/yr

Two renewable energy alternatives are available for providing energy at a remote federal research facility. The cash flow estimates associated with each alternative are given below. Use the conventional benefit-cost ratio method, with AW as the equivalent-worth measure, to determine which alternative should be selected at an interest rate of 14% per year over a 25- year study period. One alternative must be selected. Alternative I Alternative II Initial cost, $ $1,000,000 $990,000 Annual maintenance, $/year $380,000 $359,500 Annual benefits, $/year $500,000 $459,500 Salvage value, $ $17,000 $15,800 (a) Benefit-cost ratio of incremental cash flow = (b) Choose Alternative

A county in Tennessee is considering the following public interest project. Initial Cost $22.5M Annual Maintenance Cost $525K EUAB $3.3M Given a useful life of 12 years and an interest rate of 4%, the benefit /cost ratio is........... A. 1.01 B. 1.67 C. 1.48 D. 1.51.