assignment_sol_2 - ME 3232 Homework#3 Due October 6 2010...

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Unformatted text preview: ME 3232 Homework #3, Due October 6, 2010 You are given the following financial data: Investment cost at n = 0: $10,000 Investment cost at n = 1: $15,000 Useful life: 10 years (after year 1) Salvage value (at the end of 11 years): $5,000 Annual revenues: $12,000 per year Annual expenses: $4000 per year MARR: 10%. (Note: The first annual revenue and expenses will occur at the end of year 2.) Determine the project’s payback and discounted payback pen'ods (ie with and without interest consideration). Consider the following independent investment projects: Project Cash Flow n A B C D E 0 -$100 -$100 -$200 -$50 1 60 70 $20 120 -100 2 900 70 10 40 -50 3 40 5 40 0 4 40 -l80 -20 150 5 60 40 150 6 50 30 100 7 40 100 8 30 9 20 10 10 (a) Classify each project as either simple or non-simple. (b) Compute the i* for A using the quadratic equation. (0) Obtain the rate(s) of return for each project by plotting the PE as a fimction of interest rate. Consider an investment project with the following cash flows: n Cash Flow 0 -$5000 1 0 2 4840 3 1331 If the MARR is 10%, what is your advice on the project? Your R&D group has developed and tested a computer software package that helps engineers control the proper chemical mix for the various process-manufactming industries. If you decide to market the software, your first year operating net cash flow is estimated to be $1,000,000. Because of market competition, product life will be about 4 years, and the product’s market share will decrease by 25% each year over the previous year’s share. You are approached by a big software house which wants to purchase the right to manufacture and distribute the product. Assuming that your interest rate is 15%, for what minimum price would you be willing to sell the software? NasTech Corporation purchased a vibratory finishing machine for $20,000 in year 0. The useful life of the machine is 10 years, at the end of which the machine is estimated to have a zero salvage value. The machine generates annual revenues of $6000. The annual operating and maintenance expenses are estimated to be $1000. If NasTech’s MARR is 15%, how many years does it take before this machine becomes profitable? Consider the following two investment situations: a In 1970, when Wal-Mart Stores, Inc. went public, an investment of 100 shares cost $1650. That investment would have been worth $2,991,080 after 25 years. The Wal- Mart investors’ rate of return would be around 35%. o In 1980, if you bought 100 shares of Fidelity Mutual Funds, it would have cost $5245. That investment would have been worth $80,810 after 15 years. Which of the following statements is correct? (a) If you bought only 50 shares of Wal-Mart stocks in 1970 and kept them for 25 years, your rate of return would be 0.5 times 35% (b) The investors in Fidelity Mutual Funds would have made profit at the annual rate of 30% on the fimds remaining invested. (c) If you bought 100 shares of Wal-Mart in 1970 but sold them after 10 years (assume that the Wal-Mart stocks grew at the annual rate of 35% for the first 10 years) then immediately put all the proceeds into Fidelity Mutual Funds, after 15 years the total worth of your investment would be around $511,140. (d) None of the above. .9395... 32-317..“ . 1 “Pg‘vgvagug .1 _ lax/.351“. D’K— , ‘. .. . , , 999° /m 3 ‘L= 25‘». .=. .3. V3 Yn—S APE?» V9.21 Z ......TDTEL¢_.:P_=Q%GQE 0A. .=. .. ©5900 JTEQ7A38NJC , a ."lo DD; “' .-_ 800) Z 'P‘ICZ'L . .. .......m.=‘_._(m/t). om, _ \ ..=..-‘,1.T>...(9§.<.=.9..3hv .. $09.9. .5.“ ...(.h.\3_u_m—,_ .' -..(‘~.~.\)_H.‘_..‘ '10 [OD ....;..¢..~_ Use .F!.->r> , .L suw. Win? @312. D M ‘ Wtflb (151.2) _. 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The temporary building will be used for 5 years before being dismantled. Bottled Electric Gas Panels Investment cost $6000 $8500 Service life 5 years 5 years Salvage value 0 $1000 Annual 0&M cost $2000 $1000 Extra expenses for income taxes $ 220 Compare the alternatives based on the present equivalent criterion at 1' = 10%. Travis Wenzel has $2000 to invest. Normally, he would deposit the money in his savings account, which earns 6% interest, compounded monthly. However, he is considering three alternative investment opportunities: Option 1: Purchasing a bond for $2000. The bond has a face value of $2000 and pays $100 every 6 months for 3 years. The bond matures in 3 years. Option 2: Buying and holding a growth stock that grows 11% per year for 3 years. Option 3: Making a personal loan of $2000 to a friend and receiving $250 per year for 3 years plus the principal afler 3 years. Detemiine the equivalent annual cash flows for each option, and select the best option. A chemical company is considering two types of incinerators to burn solid waste generated by a chemical operation. Both incinerators have a burning capacity of 20 tons per day. The following data have been compiled for comparison: Incinerator A Incinerator B Installed cost $1,200,000 $750,000 Annual 0&M costs $50,000 $80,000 Service life 20 years 10 years Salvage value $60,000 $30,000 Income taxes $40,000 $30,000 If the firm’s MARR is known to be 13%, determine the processing cost per ton of solid waste by each incinerator. Assume that incinerator B will be available in the filture at the same cost. 4. Consider two investments A and B with the following sequences of cash flows: Net Cash Flow n Project A Project B 0 -$120,000 -$100,000 1 20,000 15,000 2 20,000 15,000 3 120,000 130,000 (a) Compute the IRR for each investment. (b) At a MARR = 15%, determine the acceptability of each project. (c) If A and B are mutually exclusive projects, which project would you select based on the rate of return on incremental investment? An airline is considering two types of engine systems for use in its planes. Each has the same life and the same maintenance and repair record. ' 0 System A costs $100,000 and uses 100,000 litres per 1000 hours of operation at the average load encountered in passenger service. 0 System B costs $200,000 and uses 80,000 litres per 1000 hours of operation at the same level. Both engine systems have 3-year lives before any major overhaul. Based on the initial investment, the systems have 10% salvage values. If jet fuel costs $0.50 per litre currently, and fuel consumption is expected to increase at the rate of 6% due to degrading engine efficiency (each year), which engine system should the firm install? Assume 2000 hours of operation per year, and a MARR of 10%. Use the AE criterion. What is the equivalent operating cost per hour for each engine? Find the annual equivalent for the following infinite cash flow series at an interest rate of 1 0%: n Net Cash Flow 0 0 1 — 10 $1000 11 - 00 $500 Lou-0..-...VHHM... . ,. _ .V . . V . V. , ._ .V.,,_..nchL,,VIT>V‘L) = #1699 (.A/P, ng‘lo. 3)V+ Hurt) +, 100.0. (Afr, c.0753) V .1045 @131. MW =%. ‘I . CASH. 6.9325 PEG *9 ka .ELECvTIT-lgqufibn/ . “Q. N _7 “'(oODO I — ‘50: \ .‘LDP‘O V. = ~Io00.~.119, 71990 _ V .,-.1FP°_. “1.9130 M > — (1.1.0 .2.- L\ -’L¢Do 41,-9.3- I V I i 4.0qu r > . 4,1,0 4 -|b_99 -110 +)\)DD . _.IV.3) $-_‘1‘S°L‘ ' ‘ ' ’L con—«5 LB §( :— Gnome, ‘Tk‘u’ OF’TTAL) 2.. V§VVBm>w-.V_0an FL?» VL meTHua a Ch :3’1'3 = am. 'LE—FF‘ I1.) Yam, ....¥€Ffi ,V ..= (If. :05 4 = 3-” . 56"“ 11., _ “93.0m— 3399: .AE (3‘04) « — was: (A/F’) 2.0%, Q + W9+74300.(l\/F, 3.0% ‘73 ,(o) I .. V F. £39919 20 -°- BEAVER- THAN ENDL. . VAEVCM‘L‘E: 37.1» (F/A,.?a°‘1‘a,75 = H: "13.55 .VquWSTougi .- .. -. ,, V ‘3 g; V ,_...SToC.K.VAL,oe AFTER 3 erA’ beo CLQ a 2735‘2L .. 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E .CQST..__3?_-op,.oo°) 5&qu < Ewan ._._. .._. fig-rm. 91:73:11. ‘ B :, , _:C:ST/Hrg‘- _ , » . , ., Svsramr “L9” kink!!!“ 291mm (3: lszfim =1§rfaHB/We . 3/7 FOL-1.: éQ-‘PfD/LT < No.63; LT>(7,ooo HM :¥ filoopoo (Lassomuéz... ago as lob we ’1‘ . . YEAR-I U YEM— SSW-EMEFW) __ SULS‘QSSTEN EX ‘5"905 , SALUAQ'C = 33°)“ _, IQEL. (:irugz‘tac» . , ..V......|.oo_\L,+ (5°30 r+.;.lfl)<A/.E’,. 620,3) 5. [95,1773 “A (HY— (“03 7 I“ I (x a“ :9: N 1.0,030_.,... . '3 .mmmma ,7 ._Ae_.(_.o.°a)_ 19.9.u9o..<hlr,.w‘lv,3\. - (0, wow/F, 2011533337,”? Emu: A , MTG—AL SKKT‘Cmfl-fi . 19537.13? "' 3-1 ‘3) = H15"? 1 _.._..Maegan"?yawn/a.“ M. 7: $30,003., _.Vem.|, woo Pm... \ L. ? 801g 3mm) * ‘WJEL‘.’ "W" ‘ " . E. .. VQQLL...;f‘f.};¢: 'c‘ié/Jg_i_.§pxé_ (MP, 101;, :3 z 4:: 924,58? H " " 0-D" (L05 , V. H _..‘ . _ . . _. fl. . .€,!>‘..Q\e§€1., .. $30,010 = 1230. cob (A/F. \o («5.3) ~ 10,00») (NF) 10%,3\= 7%,37‘3 EAchJE [S B [5-3 )9 (.0 1.000 13330 1h 30 ._ ‘ . . . o.\ 599v (. .‘.~%:sr.)__s._§,5 ._ H _. S‘ _, ,. .. . ‘ . v . ; ; ‘ i a i ; . < . , ' 2 ‘- . ; v ‘ m-........_.__..__.____;.._~._._____,___u.._. fl may _ ‘ r ME 3232 Homework #5, due 10/20/10 A small machine shop with an electrical load of 28 kW purchases its electricity at the following rates: kWh/month @ $lkWh First 1500 0.025 Next 1250 0.015 Next 3000 0.009 All over 5750 0.008 The current monthly consumption of electric power averages 3200 kWh. A bid is to be made on some new business which would require an additional 3500 kWh per month. If the new business were to last 2 years, what would be the equivalent monthly power cost that should be allocated to the new business? Assume that the shop’s interest rate is 9%, compounded monthly. Danford Company, a farm-equipment manufacturer, currently produces 20,000 units of gas filters for use in its lawnmower production annually. The following costs are reported based on the previous year’s production: Item Expense (S) Direct materials 3 60,000 Direct labor 1 80,000 Variable overhead (power and water) 135,000 Fixed overhead (light and heat) 70,000 Total cost $445,000 It is anticipated that gas-filter production will last 5 years. If the company continues to produce the product in-house, the annual direct material costs will increase at the rate of 5%. (For example, the annual material costs during the first production year will be $63,000.) The direct labor Will increase at the rate of 6% per year. The variable overhead costs would increase at the rate of 3%, but the fixed overhead would remain at the current level over the next 5 years. Tompkins Company has offered to sell Danford 20,000 units of gas filters for $25 per unit. If Danford accepts the offer, some of the- manufacturing facilities currently used to manufacture used to manufacture the gas filter could be rented to a third party at annual at an annual rental of $35,000. Additionally, $3.5 per unit of the fixed overhead applied to gas-filter production would be eliminated. The firm’s interest rate is known to be 15%. What is the unit cost of buying the gas filter from the outside source? Should Danford accept Tompkins’ ofi‘er, and why? A large university facing severe parking problems on its campus is considering constructing parking decks off campus. Then, using a shuttle service, students could be picked up at the off-campus parking deck and quickly transported to various locations on campus. The university would charge a small fee for each shuttle ride, and the students could quickly and economically travel to their classes. The funds raised by the shuttle (& would be used to pay for the trolleys, which cost about $150,000 each. The trolley has a 12-year service life with an estimated salvage value of $3000. To operate each trolley, the following additional expenses must be considered: Item Annual Expenses Driver $25,000 Maintenance 7,000 Insurance 2,000 If students pay 10 cents for each ride, determine the annual ridership per trolley (number of shuttle rides per year) required to justify the shuttle project, assuming an interest rate of 6%. Inland Trucking Company is considering the replacement of a 500-kilogram—capacity forklifi truck. The truck was purchased 3 years ago at a cost of $15,000. The diesel- operated forklift truck was originally expected to have a useful life of 8 years and a zero estimated salvage value at the end of that period. The truck has not been dependable and is frequently out of service while awaiting repairs. The maintenance expenses of the truck have been rising steadily and currently amount to about $3000 per year. The truck could be sold for $6000. If retained, the truck will require an immediate $1500 overhaul to keep it in operable condition. This overhaul will neither extend the originally estimated service life nor will it increase the value of the truck. The updated annual operating costs, engine overhaul, and market values over the next 5 years are estimated as follows: Engine Market n 0&M Depreciation Overhaul Value -3 -2 $3 000 -1 4800 0 ' 2880 $1500 $6000 1 $3000 ' 1728 4000 2 3500 i 1728 3000 3 3800 p 864 1500 4 4500 0 1000 5 4800 0 5000 0 A drastic increase in costs during the fifth year is expected due to another overhaul, which will be required to keep the truck in operating condition. The firm’s MARR is 15%. (a) If the truck is to be sold now, what will be its sunk cost? (b) What is the opportunity cost of not replacing the truck now? (c) What is the annual equivalent cost of owning and operating the truck for 2 more years? i (d) What is the annual equivalent cost of owning and operating the truck for 5 years? A firm is considering replacing a machine that has been used for making a certain kind of packaging material. The new improved machine will cost $31,000 installed and will have an estimated economic life of 10 years with a salvage value of $2500. Operating costs are expected to be $1000 per year throughout its service life. The old machine in use had an original cost of $25,000 four years ago, and at the time it was purchased, its service life (physical life) was estimated to be 7 years with a salvage value of $5000. The old machine has a current market value of $7700. If the firm retains the old machine further, its updated market values and operating costs for the next 4 years will be as follows: Year Market Operating End Value Costs 0 $7700 1 4300 $3200 2 3300 3700 3 1 100 4800 4 0 5850 The firm’s minimum attractive rate of return is 12%. (a) Working with the updated estimates of market values and operating costs over the next 4 years, determine the remaining economic life of the old machine. (b) Determine whether it is economical to make the replacement now. Two years ago Quintana Company decided to purchase new robotic welding equipment (Model A) for $150K to perform operations then being performed by less efficient equipment. At the time of purchase Model A was projected to result in $30K annual savings and have a 10 year life with zero salvage value. While Model A has delivered on anticipated savings, it is now two years later and even better equipment (Model B) is on the market, which makes Model A completely obsolete, with no resale value. The Model B equipment costs $300,000 delivered and installed, but it is expected to result in annual savings of $75,000 over the cost of operating the Model A equipment. The economic life of Model B is estimated to be 10 years with zero salvage value. The interest rate is 10% (a) What action should the company take? (b) If the company decides to purchase the Model B equipment, a mistake must have been made, because good equipment, bought only 2 years previously, is being scrapped. How did this mistake come about? 7. The after-tax annual equivalent of revenue for retaining and operating a defender over 4 years, or operating its challenger over 6 years are as follows. Annual E uivalent of Revenue fi'om O eration Challener 13400 12300 13000 If you need the service of either machine for ONLY 8 years, what is the best replacement strategy? Assume a MARR of 12% and no technology improvement in future challengers. “Enpgnmmiéaésmu“blraonmwhQcabmast... .. MS .. G700 MW ._ f r 3190:“ _ . 91C??? C x .. fig. 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assignment_sol_2 - ME 3232 Homework#3 Due October 6 2010...

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