PLEASE ANSWER ALL PARTS

As the supervisor of a facilities engineering department, you consider mobile cranes to be critical equipment. The purchase of a new medium-sized, truck-mounted crane is being evaluated. The economic estimates for the two best alternatives are shown in the table below. You have selected the longest useful life (nine years) for the study period and would lease a crane for the final three years under Alternative A. On the basis of previous experience, the estimated annual leasing cost at that time will be $66,000 per year (plus the annual expenses of $28,800 per year). The MARR is 15 % per year. Show that the same selection is made with (a) the PW method, (b) the IRR method, (c) the ERR method. (d) Would leasing crane A for nine years, assuming the same costs per year as for three years, be preferred over your present selection?

(=MARR=15 %).

CAPITAL INVESTMENT: Alternative A = $275,000 and Alternative B = $347,500

ANNUAL EXPENSES: Alternative A = $28,800 and Alternative B = $19,500

USEFUL LIFE(YEARS): Alternative A = 6 and Alternative B = 9

MARKET VALUE(AT END OF LIFE): Alternative A = $25,000 and Alternative B = $46,524

Discrete Compounding: i-15% Single Payment Uniform Series Compound Amount Factor To Find F Given P F/P 1.1500 1.3225 1.5209 1.7490 2.0114 2.3131 2.6600 3.0590 3.5179 4.0456 Present Worth Factor To Find P Given F P/F 0.8696 0.7561 0.6575 0.5718 0.4972 0.4323 0.3759 0.3269 0.2843 0.2472 Compound Amount Factor To Find F Given A F/A 1.0000 2.1500 3.4725 4.9934 6.7424 8.7537 11.0668 13.7268 16.7858 20.3037 Present Worth Factor To Find P Given A P/A 0.8696 1.6257 2.2832 2.8550 3.3522 3.7845 4.1604 4.4873 4.7716 5.0188 Sinking Fund Factor To Find A Given F A/F 1.0000 0.4651 0.2880 0.2003 0.1483 0.1142 0.0904 0.0729 0.0596 0.0493 Capital Recovery Factor To Find A Given P A/P 1.1500 0.6151 0.4380 0.3503 0.2983 0.2642 0.2404 0.2229 0.2096 0.1993 2 3 4 6 7 8 10