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Beacon Manufacturing, Inc. is planning to buy a new cutting machine. The machine

ID: 2578730 • Letter: B

Question

Beacon Manufacturing, Inc. is planning to buy a new cutting machine. The machine costs $125,000, has an estimated life of ten years and no salvage value. The machine is expected to have the following impact:

         Increment revenue............................................................................................        $30,000

         Incremental expenses:

            Expenses other than depreciation....................................................................         (8,000)

            Straight-line depreciation...............................................................................      (12,500)

         Incremental net income.....................................................................................          $9,500

All revenue and expenses other than depreciation will be received or paid in cash. Compute the following for this proposal:

1.                   What is the annual net cash flow expected from the cutting machine investment? $____________

1.                   What is the expected payback period of the cutting machine investment? ______ years

2.                   What is the expected return on average investment associated with the cutting machine? ____________%

3.                   What is the net present value of the cutting machine discounted at an annual rate of 10%, if the present value of a ten-year $1 annuity discounted at 10% is 6.145? $____________

4.                   What is the net present value of the cutting machine discounted at an annual rate of 20%, if the present value of a ten-year $1 annuity discounted at 20% is 4.192? $____________

Explanation / Answer

Answer = 1 CALCULATION OF THE ANNUAL NET CASH FLOW FROM THE CUTTING MACHIENE INVESTMENT Increamental Revenue = $            30,000.00 Less: Expenses   $             -8,000.00 Less: Straight Line Depreciation   $           -12,500.00 Increamental Net income $               9,500.00 Add: Depreciation   $            12,500.00 Total Annual Cash Flow   $            22,000.00 Answer = 2 CALCIILATION OF THE PAYBACK PERIOD OF MACHIENE YEARS CASH FLOW CUMULATIVE CASH FLOW                                                              1.00                 22,000.00 $       22,000.00                                                              2.00                 22,000.00 $       44,000.00                                                              3.00                 22,000.00 $       66,000.00                                                              4.00                 22,000.00 $       88,000.00                                                              5.00                 22,000.00 $    1,10,000.00                                                              6.00                 22,000.00 $    1,32,000.00                                                              7.00                 22,000.00 $    1,54,000.00                                                              8.00                 22,000.00 $    1,76,000.00                                                              9.00                 22,000.00 $    1,98,000.00                                                            10.00                 22,000.00 $    2,20,000.00 So, in the year of 6th the whole amount of $ 125,000 is recovered   but the whole 6th year is not required we need only $ 15,000 in this year Payback Period = 5 Years + $ 15,000 / $ 22,000 Payback Period = 5 Years + 0.68 Years Payback Period = 5.68 Years Answer =3 ) Tota Retrun from the machiene = Net Income * No. of Years Tota Retrun from the machiene = $ 9,500 X 10 Years   Tota Retrun from the machiene = $ 95,000 Retrun on Average inevstment = Total return / Investment Value Retrun on Average inevstment = $ 95,000 / $ 125,000 Retrun on inevstment = 0.76 or 76 %   Answer = 4 CALCULATION OF NET PRESENT VALUE IF THE DISCOUNTED RATE OF RETURN = 10% Net Present Value = Annual Cash Flow X Annuity of discounted at 10% Net Present Value = $ 22,000 X 6.145   Net Present Value = $ 135,190 Answer = 5 CALCULATION OF NET PRESENT VALUE IF THE DISCOUNTED RATE OF RETURN = 20% Net Present Value = Annual Cash Flow X Annuity of discounted at 20% Net Present Value = $ 22,000 X 4.192   Net Present Value = $ 92, 224

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