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TM 661 Engineering Economics. Replacement Analysis. Replacement / Challenge. Example Car grows older and needs repairs at engine overhaul time should we fix or replace?. Replacement / Challenge. Example Car grows older and needs repairs
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TM 661 Engineering Economics Replacement Analysis
Replacement / Challenge • Example Car grows older and needs repairs • at engine overhaul time should we fix or replace?
Replacement / Challenge • Example Car grows older and needs repairs • at engine overhaul time should we fix or replace? • Note: sunk costs are unrecoverable • Example Just put $800 in car, engine needs overhaul, should we repair or replace? • The $800 just invested has no bearing number is not part of analysis.
Example: Replacement Chemical Plant owns filter press purchased 3 years ago. Operating expense started at $4,000 per year 2 years ago and has increased by $1,000 per year. The press could last 5 more years with an estimated salvage of $2,000 at that time. Current market value of the press is $9,000. A new press can be purchased for $36,000 with an estimated life of 10 years. Annual operating costs are 0 in year 1 growing by $1,000 per year.
Keep 2,000 0 1 2 3 4 5 7,000 11,000 Replacement (Cash Flow)
Keep Replace 12,000 9,000 2,000 0 1 2 3 4 5 0 1 2 3 4 5 7,000 1,000 36,000 11,000 4,000 Replacement (Cash Flow)
Keep 2,000 0 1 2 3 4 5 7,000 11,000 Replacement (Cash Flow) • NPW = -7,000 (P/A, 15,5) • - 1,000 (P/G, 15, 5) • + 2,000 (P/F, 15, 5) • = ($28,246)
Replace 12,000 9,000 0 1 2 3 4 5 1,000 36,000 4,000 Replacement (Cash Flow) NPW = 9,000 - 36,000 -1,000 (P/G, 15,5) + 12,000 (P/F, 15, 5) = ($26,809)
Keep Replace 12,000 9,000 2,000 0 1 2 3 4 5 0 1 2 3 4 5 7,000 1,000 36,000 11,000 4,000 Replacement (Cash Flow) NPWK = ($28,246) NPWR = ($26,809)
Keep Replace 12,000 9,000 2,000 0 1 2 3 4 5 0 1 2 3 4 5 7,000 1,000 36,000 11,000 4,000 Replacement (Cash Flow) NPWK = ($28,246) NPWR = ($26,809) Choose Replace
Keep Replace 12,000 9,000 2,000 0 1 2 3 4 5 0 1 2 3 4 5 7,000 1,000 36,000 11,000 4,000 Replacement (Cash Flow) NPWK = ($28,246) NPWR = ($26,809) Note: NPWR - NPWK = $ 1,437
Keep Replace 12,000 2,000 0 1 2 3 4 5 0 1 2 3 4 5 7,000 1,000 9,000 36,000 11,000 4,000 Replacement (Outsider View)
Keep 2,000 0 1 2 3 4 5 7,000 9,000 11,000 Replacement (Outsider View) • NPW = - 9,000 • -7,000 (P/A, 15,5) • - 1,000 (P/G, 15, 5) • + 2,000 (P/F, 15, 5) • = ($37,246)
Replace 12,000 0 1 2 3 4 5 1,000 36,000 4,000 Replacement (Outsider View) NPW = - 36,000 -1,000 (P/G, 15,5) + 12,000 (P/F, 15, 5) = ($35,809)
Keep Replace 12,000 2,000 0 1 2 3 4 5 0 1 2 3 4 5 7,000 1,000 9,000 36,000 11,000 4,000 Replacement (Outsider View) NPWK = ($37,246) NPWR = ($35,809)
Keep Replace 12,000 2,000 0 1 2 3 4 5 0 1 2 3 4 5 7,000 1,000 9,000 36,000 11,000 4,000 Replacement (Outsider View) NPWK = ($37,246) NPWR = ($35,809) Choose Replace
Keep Replace 12,000 2,000 0 1 2 3 4 5 0 1 2 3 4 5 7,000 1,000 9,000 36,000 11,000 4,000 Replacement (Outsider View) NPWK = ($37,246) NPWR = ($35,809) Note: NPWR - NPWK = $ 1,437
With 10 year Horizon Suppose we now consider a 10 year planning horizon. We estimate that the old press will still have a salvage value of $2,000 5 years from now but that the new press will only cost $31,000 5 years from now. Further, estimated salvage 5 years hence is $15,000. Then:
Keep 15,000 2,000 0 1 2 3 4 5 10 1,000 7,000 11,000 4,000 31,000 Replacement (Cash Flow) NPW = -7,000(P/A, 15,5) - 1,000(P/G,15,5) -29,000(P/F,15,5) -1,000(P/A,15,5)(P/F,15,5) + 12,000(P/F,15,10) = ($42,821)
Replace 3,000 9,000 0 1 2 3 4 5 . . . 10 . . . . 1,000 36,000 4,000 9,000 Replacement (Cash Flow) NPW = -27,000 - 1,000(P/G,15,10) + 3,000(P/F,15,10) = ($43,237)
Replace Keep 15,000 3,000 9,000 2,000 0 1 2 3 4 5 10 0 1 2 3 4 5 . . . 10 1,000 . . . . 7,000 1,000 11,000 4,000 36,000 4,000 9,000 31,000 10-Year Horizon NPWK = (42,821) NPWR = (43,237) Choose Keep, trade in 5 years
Multiple Alternatives Suppose Dealer offers a $10,000 trade-in. In addition, we identify 2 new alternatives: 3. New press for $40,000 with salvage after 5 years of $13,000. Trade-in on this machine is $12,000. 4. Lease a press for $7,500 per year during the 5 year horizon. Existing press will be sold on the open market.
Optimal Replacement Suppose we have a compressor which costs $2,000 and has annual maintenance costs of $500 increasing by $100 per year. MARR=20%. Then:
Class Problem The new president of Angstrom Technologies feels the company must use the newest and finest equipment in its labs. He has recommended that a 2-year-old piece of precision measurement equipment be replaced immediately. Besides, he feels it can be shown that his proposed equipment is economically advantageous at a 15%-per-year return and a planning horizon of 5 years. Perform the replacement analysis for a 5-year period.
Class Problem • Current Proposed • Original purchase price $30,000 $40,000 • Current market value 15,000 ... • Estimated useful life, years 5 15 • Estimated value, 5 years $7,000 $10,000 • Salvage after 15 years ... 5,000 • Annual operating cost 5,000 3,000
7,000 15,000 10,000 0 1 2 3 4 5 0 1 2 3 4 5 3,000 5,000 40,000 Solution Keep Replace EUAW = -25,000(A/P,15,5) -3,000 + 10,000(A/F,15,5) = ($8,975) EUAW = -5,000 + 7,000(A/F,15,5) = ($3,962)