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Jordan University of Science and Technology
                                         Faculty of Engineering
                                   Industrial Engineering Department
                                      IE 341: Engineering economy
                                        First Semester 2011/2012

Name :.                                Quiz 4                           Eng. Maysaa Faroon
.. : #NO

        Q1: See the table below and solve the following problems.
                                A                 B             C                 D
Capital investment              95,000            45,000        35,000            75,000
Annual expenses                 45,000            30,000        20,000            40,000
Annual revenues                 57,000            43,000        33,000            50,000
Market value at EOY 10          20,000            15,000        15,000            20,000
IRR                             6.9%              27.1%         36.1%             8.4%

           a) After arranging the alternatives what is the base alternative?........................
           b) After the base alternative has been identified, the first comparison to be made in
              an incremental analysis should be?......................................
           c) Write the equation of IRR for A ?
           d) If the MARR is 15% which alternatives must be rejected?..................................
           e) What is the best alternative? Use PW method 

                                        C                 B               D                A
       Capital investment               35,000            45,000         75,000            95,000
       Annual expenses                  20,000            30,000         40,000            45,000
       Annual revenues                  33,000            43,000         50,000            57,000
       Market value at EOY10            15,000            15,000         20,000            20,000
       IRR                              36.1%             27.1%          8.4%              6.9%

           a) The base alternative is C because: 1. The less capital investment
                                                   2. IRR(C) 36.1% acceptable
           b) B-C
           c) 裡R(PW) = 裡E(PW) OR           裡R(PW) - 裡E(PW) =0
              -95,000 +(57,000 - 45,000 )(P/A,i%, 10 )+20,000(P/F,i%, 10) = 0
           d) D & A (IRR<MARR)
           e) PW(C) = -35,000 +(33,000 - 20,000 )(P/A,15%, 10 )+15,000(P/F,15%, 10) =
              PW(B) = -45,000 +(43,000 - 30,000 )(P/A,15%, 10 )+15,000(P/F,15%, 10) =
              The biggest PW is the best alternative
Q2: For the following table assume a MARR = 10% per year and a useful life of 6 years.
Complete the IRR analysis by selecting the preferred alternative.
                       A                    C-A                   B-C
 Capital investment   -15,000              -2,000                -3,000
 Annual Revenue       4,000                900                   460
 Annual Expenses      -1,000               -150                  -100
 Market Value         6,000                2,220                 3,350
 IRR                  12.7%                10.9%                 ?????

The answer is  IRR(B-C) i = 13.4% > 10% SO B is the best alternative

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  • 1. Jordan University of Science and Technology Faculty of Engineering Industrial Engineering Department IE 341: Engineering economy First Semester 2011/2012 Name :. Quiz 4 Eng. Maysaa Faroon .. : #NO Q1: See the table below and solve the following problems. A B C D Capital investment 95,000 45,000 35,000 75,000 Annual expenses 45,000 30,000 20,000 40,000 Annual revenues 57,000 43,000 33,000 50,000 Market value at EOY 10 20,000 15,000 15,000 20,000 IRR 6.9% 27.1% 36.1% 8.4% a) After arranging the alternatives what is the base alternative?........................ b) After the base alternative has been identified, the first comparison to be made in an incremental analysis should be?...................................... c) Write the equation of IRR for A ? d) If the MARR is 15% which alternatives must be rejected?.................................. e) What is the best alternative? Use PW method C B D A Capital investment 35,000 45,000 75,000 95,000 Annual expenses 20,000 30,000 40,000 45,000 Annual revenues 33,000 43,000 50,000 57,000 Market value at EOY10 15,000 15,000 20,000 20,000 IRR 36.1% 27.1% 8.4% 6.9% a) The base alternative is C because: 1. The less capital investment 2. IRR(C) 36.1% acceptable b) B-C c) 裡R(PW) = 裡E(PW) OR 裡R(PW) - 裡E(PW) =0 -95,000 +(57,000 - 45,000 )(P/A,i%, 10 )+20,000(P/F,i%, 10) = 0 d) D & A (IRR<MARR) e) PW(C) = -35,000 +(33,000 - 20,000 )(P/A,15%, 10 )+15,000(P/F,15%, 10) = PW(B) = -45,000 +(43,000 - 30,000 )(P/A,15%, 10 )+15,000(P/F,15%, 10) = The biggest PW is the best alternative
  • 2. Q2: For the following table assume a MARR = 10% per year and a useful life of 6 years. Complete the IRR analysis by selecting the preferred alternative. A C-A B-C Capital investment -15,000 -2,000 -3,000 Annual Revenue 4,000 900 460 Annual Expenses -1,000 -150 -100 Market Value 6,000 2,220 3,350 IRR 12.7% 10.9% ????? The answer is IRR(B-C) i = 13.4% > 10% SO B is the best alternative