PONTIFICIA UNIVERSIDAD CATOLICA MADRE Y MAESTRA

DEPARTAMENTO DE INGENIERIA INDUSTRIAL

Ingeniera Econmica (SD-II -318-T-001)Profesora: Katia Montao

TAREA Para entregar, a ms tardar el MIERCOLES 8 de ABRIL en la clase (10 a.m.)VALOR: 25 puntos En un CD

I.- Calcular el Valor Presente despues de impuestos, y la Tasa Interna de Retorno de un proyecto con un capital inicial de 7 millones. De los cuales toma prestados el 55% por 6 aos, a una tasa del 10%. La tasa de impuestos es del 25% y la tasa de rendimiento es de 13%

AoIngreso Bruto IBGasto Operacin GO

0

1950,000290,000

21,995,000310,000

32,960,000350,000

43,225,000380,000

53,580,000430,000

63,830,000430,000

73,990,000456,000

83,890,000500,000

93,890,000500,000

comprado el 31 de diciembre del costoValor Salv.vendido en precio venta

Planta Elctrica 20052,050,000800,0002012810,000

Monta carga Elctrico2005580,00090,0002006650,000

Monta carga de Gasoil2005450,00085,0002007120,000

Carro20051,100,000115,0002008100,000

Camioneta 2005900,000120,0002009190,000

Vida til de los vehculos 5 aos. Vida til de la planta Elctrica es de 6 aos. Vida til de los montacargas 3 aos.

2005 es el ao cero.FEADI = IB + otros ingresos Gastos OperacinFEDI = FEADI Impuestos Intereses PrincipalIG = FEADI Depreciacin - Intereses + Ganancia neta de capital perdida neta de capital + recuperacin de depreciacin.Direccn para buscar la tabla de amortizacin: Tabla de amortizacin en WWW.drprestamos.netII.- Al final de cada ao, todos los propietarios y empleados de la cooperativa Bel Country Utility reciben un bono segn las utilidades netas de la cooperativa en el ao anterior. Bart acaba de recibir un bono de $8,530 . Planea invertirlo en un programa de anualidades que paga 7% anual. Los planes de largo plazo de Bart son renunciar a su trabajo en la cooperativa, cuando an sea lo bastante joven para iniciar su propio negocio. Parte de los gastos de su vida futura se pagarn con los crditos que el bono genere.

a) Si el piensa trabajar 15 aos ms, cuanto ser la anualidad que percibir durante todo los aos a partir del inicio de su retiro.

b) Cuantos aos deben transcurrir para que Bert pueda tomar su retiro, si l quiere que su bono le genere una anualidad de 3,000 anuales.

NOTA: La funcin NPER dice cuntos aos se requieren para que un monto actual X se convierta en un monto futuro Y.

IV.- Compare las alternativas de un Sistema de seguridad para una subestacin de distribucin de energa por medio del anlisis del valor anual. Con una tasa de inters del 10%. ul es preferible?

Condi

Aldi

Torri

Costo inicial

200,000550,000

1,000,000

Op. y Mant. Anual50,000

20,000

10,000

Costo acond. 0

5,000 cada 5 aos

Ingresos anuales120,000120,000

130,000

VS

25,000

0

500,000

Aos

10

20

infinito

V.- Qu es la tasa interna de retorno? Puede haber ms de una tasa interna de retorno en un proyecto?

VI.- Benet/cost (B/C) analysisWater Treatment Facility (Case)Allen Water Utilities has planned for the last 25 years to construct a new drinking water treatment facility that will supply the rapidly growing north and northwest areas of the city. An expectation of over 100,000 new residents in the next Several years and 500,000 by 2040 prompted the development of the plant Starting in 2012. The supply is from a large surface lake currently used to provide water to all of Allen and the surrounding communities. The project is termed WTF3, and its initial capital investment is $540 million for the treatment plant and two large steel-pipe transmission mains (84- and 48-inch) that will be installed via tunneling approximately 100 to 120 feet under suburban areas of the city to reach current reservoirs.

Tunneling was selected after geotechnical borings indicated that open trenching was not supportable by the soil and based upon a large public outcry against trenching in the living areas along the selected transmission routes. Besides the treatment plant construction on the 95acre site, there must be at least three large vertical shafts (25 to 50 feet in diameter) bored along each transmission main to gain underground access for equipment and debris removal during the tunneling operations.

The stated criteria used to make decisions for WTF3 and the transmission

Mains were economics, environment, Community impact, and constructability. There are major long-term benets for the new facility. These are some mentioned by city engineers: It will meet projected water needs of the city for the next 50 years. The new treatment plant is at a higher elevation than the current two plants, allowing gravity ow to replenish reservoirs, thereby using little or no electric pumping. There will be an increase in the diversity and reliability of supply as other plants age. It will provide a water quality that is more consistent due to the location of the raw water intakes. The facility uses water supplies already purchased; therefore, there is no need to negotiate additional allowances. The disbene ts are mostly short-term during the construction of WTF3 and transmission mains. Some of these are mentioned by citizen groups and one retired

city engineer: There will be disruption of habitat for some endangered species of birds, lizards, and trees not found in any other parts of the country. Large amounts of dust and smoke will enter the atmosphere in a residential area during the 3 years of construction, tunneling, and transmission main completion. Noise pollution and traf c congestion will result during an estimated 26,000 truck trips to remove debris from the plant site and tunnel shafts, in addition to the problems from regular construction trafc.

Natural landscape in plant and tunnel shaft sites will be destroyed.

Safety will be compromised for children in a school where large trucks will pass about every 5 minutes for approximately 12 hours per day, 6 days per week for 2 years.

There may be delays in re and ambulance services in emergencies, since many neighborhood streets are country-road width and offer only single ingress/egress streets for neighborhoods along the indicated routes.

The need for the facility has not been proved, as the water will be sold to developers outside the city limits, not provided to residences within Allen. Newly generated revenues will be used to pay off the capital funding bonds approved for the plants construction.

Last year, the city engineers did a benet/cost analysis for this massive public sector project; none of the results were publicized. Public and elected ofcial intervention has now caused some of the conclusions using the criteria mentioned above to be questioned by the general Manager of Allen Water Utilities.

*The situation with the location and construction of the new WTF3 and associated transmission mains described above, has reached a serious level because of recent questions posed by some city council members and citizen groups. Before going public to the city council with the analysis performed last year, the director of Allen Water Utilities has asked an engineering management consultant to review it and determine if it was an acceptable analysis and correct economic decision, then and now. The lead consultant, Joel Whiterson, took engineering economy as a part of his B.S. education and has previously worked on economic studies in the government sector, but never as the lead person. Within the rst hour of checking background notes, Joel found several initial estimates (shown below) from last year for expected consequences if WTF3 were built. He realized that no viewpoint of the study was dened, and, in fact, the estimates were never classied as costs, benets, or disbenets. He did determine that disbenets were considered at some point in the analysis, though the estimates for them are very sketchy. Joel dened two viewpoints: a citizen of Allen and the Allen Water Utilities budget. For this homework use: a citizen of Allen viewpoint to identify each of the estimates as a cost, benet, or disbenet. Citizen of the city of Allen, viewpoint Goal: Maximize the quality of life and wellness of citizens with family and neighborhood as prime concerns.

Rates of return: 10%Economic Dimension

Monetary Estimate1. Cost of water: 10% annual increase to Allen households Average of $29.7 million (years 15, steady thereafter)2. Bonds: Annual debt service at 3% per year on $540 million $16.2 million (years 119); $516.2 million (year 20) 3. Use of land: Payment to Parks and Recreation for shaft sites and construction areas $300,000 (years 14)4. Property values: Loss in value, sales price, and property taxes $4 million (years 15)5. Water sales: Increases in sales to surrounding communities $5 million (year 4) plus 5% per year (years 520)

6. M&O: Annual maintenance and operations costs $300,000 plus 4% per year increase (years 120)7. Peak load purchases: Savings in purchases of treated water from secondary sources $500,000 (years 520)