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Problem 1 An area can be irrigated by pumping water from a nearby river. Two com

ID: 2453844 • Letter: P

Question

Problem 1

An area can be irrigated by pumping water from a nearby river. Two competing installations are being considered. The MARR is 12% per year. At what level of operation (hours per year) would you be indifferent between the two pumping systems. The table below gives the different estimates needed to do the calculations.

Pump A

Pump B

Initial cost , $

2410

4820

Electrical efficiency

60%

75%

Salvage value, $

80

0

Operating load on motor

15 hp

10 hp

Electric power costs , $ (1hp=0.746 kW)

0.06/kwh

0.06/kwh

Useful life, years

8

8

Problem 2

A public-private initiative in Texas will significantly expand the wind-generated energy through- out the state. The cash flow for one phase of the project involving Central Point Energy, a trans-mission utility company, is shown. Given reinvestment rate of 14% per year for excess funds and 10 % per year for borrowing rate for extra funds, determine: given MARR = 12%

Year

Net cash flow

0

-50000

1

+22000

2

+38000

3

-2000

4

-1000

5

+5000

How many number of ROR values is expected and why?

Calculate the external rate of return?

Is the project economically viable?

Pump A

Pump B

Initial cost , $

2410

4820

Electrical efficiency

60%

75%

Salvage value, $

80

0

Operating load on motor

15 hp

10 hp

Electric power costs , $ (1hp=0.746 kW)

0.06/kwh

0.06/kwh

Useful life, years

8

8

Explanation / Answer

Initial cost = 2410 4820

Salvage value = 80 0

Life = 8 8

Let the level of operation indifferent between the two pumping systems = X

Net present value of pump A = Net present value of pump B

Present value of cash outflow of Pump A - Present value of cash inflow of Pump A = Present value of cash outflow of Pump B - Present value of cash inflow of Pump B

2410 -( X*15*0.06 * 60%*5.747 + 80*.540) = 4820 - (X* 10*0.06* 75%*5.747 +0)

x = 4725

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