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7-37. An industrial coal-fired boiler for process steam is equipped with a 10-ye

ID: 2643111 • Letter: 7

Question

7-37. An industrial coal-fired boiler for process steam is equipped with a 10-year-old electrostatic precipitator (ESP). Changes in coal quality have caused stack emissions to be in noncompliance with federal standards for particulates. Two mutually exclusive alternatives have been proposed to rectify this problem (doing nothing is not an option).

New                                         Baghouse                    New ESP

Capital investment                 $1,140,000                  $992,500

Annual operating expenses    115,500                       73,200

The life of both alternatives is 10 years, the effective income tax rate is 40%, and the after-tax MARR is

Explanation / Answer

We need to compute NPV of both the projects to compare these projects assuming MARR to be %

Baghouse project

Annual depreciation = (cost of asset – salvage value)/ Life

                                = ($1140, 000 -0)/ 10

                                = $114,000

Annual operating cash outflow = (annual operating expenses + depreciation) x(1- tax rate) - Depreciation

                                                                      = ($115,500 + $114,000) x(1-0.40) - $114,000

                                                                         = 23,700

NPV = PV of cash flows - initial investment

        = PVIFA( 10%, 10) x (– 23,700) -1,140,000

       = 6.144567 x (-23700) -1,140,000

       = $1,285,626.24

NEW ESP project

Annual depreciation = (cost of asset – salvage value)/ Life

                                = ($992500 -0)/ 10

                                = $99,250

Annual operating cash outflow = (annual operating expenses + depreciation) x(1- tax rate) - Depreciation

                                                   = ($73200+ $99250) x(1-0.40) - $99250

                                                   = $33,500

NPV = PV of cash flows - initial investment

        = PVIFA( 10%, 10) x (– 33,500) -992500

       = 6.144567 x (-33,500) -992500

       = $1,198,343

Since NPV of New ESP project is higher, New ESP project should be selected.

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