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Relevant cash flowsNo terminal valueCentral Laundry and Cleaners is considering replacing an existing piece of machinery with a more sophisticated machine. The old machine was

Relevant cash flowsNo terminal valueCentral Laundry and Cleaners is considering replacing an existing piece of machinery with a more sophisticated machine. The old machine was purchased 3 years ago at a cost of $46,800, and this amount was being depreciated under MACRS using a 5-year recovery period. The machine has 5 years of usable life remaining. The new machine that is being considered costs $75,900 and requires $3,600 in installation costs. The new machine would be depreciated under MACRS using a 5-year recovery period. The firm can currently sell the old machine for $55,900 without incurring any removal or cleanup costs. The firm is subject to a tax rate of 40%. The revenues and expenses (excluding depreciation and interest) associated with the new and the old machines for the next 5 years are given in the table

New machine

Old machine

Year

Revenue

Expenses

(excluding depreciation and interest)

Revenue

Expenses

(excluding depreciation and interest)

1

$749,600

$720,600

$674,700

$660,400

2

749,600

720,600

676,700

660,400

3

749,600

720,600

680,700

660,400

4

749,600

720,600

78,700

660,400

5

749,600

720,600

674,700

660,400

Rounded Depreciation Percentages by Recovery Year Using MACRS for

First Four Property Classes

Percentage by recovery year*

Recovery year

3 years

5 years

7 years

10 years

1

33%

20%

14%

10%

2

45%

32%

25%

18%

3

15%

19%

18%

14%

4

7%

12%

12%

12%

5

12%

9%

9%

6

5%

9%

8%

7

9%

7%

8

4%

6%

9

6%

contains the applicable MACRS depreciation percentages.) Note: The new machine will have no terminal value at the end of 5 years.

a. Calculate the initial investment associated with replacement of the old machine by the new one.

b. Determine the incremental operating cash inflows associated with the proposed replacement. (Note: Be sure to consider the depreciation in year 6.)

c. Depict on a time line the relevant cash flows found in parts (a) and (b) associated with the proposed replacement decision.

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