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Johnny’s Lunches is considering purchasing a new, energy-efficient grill. The gr

ID: 2745541 • Letter: J

Question

Johnny’s Lunches is considering purchasing a new, energy-efficient grill. The grill will cost $38,000 and will be depreciated according to the 3-year MACRS schedule. It will be sold for scrap metal after 3 years for $9,500. The grill will have no effect on revenues but will save Johnny’s $19,000 in energy expenses per year. The tax rate is 30%. Use the MACRS depreciation schedule. a. What are the operating cash flows in each year? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Year Operating Cash Flows 1 $ 2 3 b. What are the total cash flows in each year? (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.) Time Total Cash Flows 0 $ 1 2 3 c. If the discount rate is 12%, should the grill be purchased? Yes No

Explanation / Answer

Depreciation Calculation:-

Year             MACR Rate             Depreciation

1                 33.3 %                     38000 * 33.3%= $12654

2                 44.45%                   38000 * 44.45% = $ 16891

3                14.81% *                   (38000-9500)/3= 9500 (Swith over to SLM because it will provide high depreciation)

Tax Saving on Depreciation

.30 * $ 12654= $ 3796

.30 * $ 16891= $ 5067

.30 * $9500 = $ 2850

                   $ 11713

Calculation of Operating Cash Flows:-

Year /Income     1    2    3

Saving in Energy Expenses      19000              19000              19000

less :Tax @ 30%                       5700    5700                 5700

Operating Cash Flow               13300             13300                 13300

Note: Depreciation is a Non-Operating Item

Year /Income     1    2    3

Saving in Energy Expenses      19000              19000              19000

Less:Dep                               12654              16891               9500

Income                                   6346                2109                9500

Tax @ 30%                              1903 633               2850

Profit after Tax                          4443               1476                6650

Add: Deprecition                      12654              16891              9500

Cash Flow                              17097               18367            16150

Year          Cash Flow    PVF @ 12%       PRESENT VALUE

1                17097                   0.893                                         15268

2              18367                   0.797                                 14639

3            16150                   0.712                                    11499

                                                      TOTAL                         41406

3               9500(SCRAP)      0.712                                  6764

NET PRESENT VALUE OF CASH INFLOW                        48170

LESS:PRESENT VALUE OF CASH OUTFLOW                           38000

NET PRESENT VALUE                                                              10170

SINCE THE NPV IS POSITIVE THE GRILL MAY BE PURCHASED.

    

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