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Quick Computing currently sells 1000 computer chips per year at a gross profit o

ID: 2483332 • Letter: Q

Question

Quick Computing currently sells 1000 computer chips per year at a gross profit of $15 per chip. They have the opportunity to buy new equipment that will produce chips that will have a gross profit of $18 each. A marketing consultant who was paid $20,000 forecasts sales of the new improved chips to be 1200 chips per year. However, demand for the old chip will decrease and they estimate they will only be able to sell 700 of the old chips once the new chips are introduced. The overhead allocation is $1 per chip. The new equipment will cost $200,000 and will be depreciated to zero over a 4 year life. All other cash flows are the same with or without the new equipment. Quick Computing has a marginal tax rate of 30%. What Is the per year cash flow that should be used to. calculate the Net Present Value of the new equipment? If the appropriate Opportunity Cost of capital is 12s. should Quick computing adopt this project?

Explanation / Answer

Answer

Answer (a) & (b)

Note : Marketing consultant paid $ 20,000 is sunk cost So will not be included for decision making purpose.

Overhead allocation will not be considered for decision making purpose but will be deducted from gross profit for tax benefit purpose and will be added back after tax.

Figures in $

Year

New chip gross profit after overhead

Old chip gross profit loss

Total additional profit before tax

Total additional profit After tax

Total additional profit After tax + overhead allocation addition

Depreciation tax benefit

Cost of equipment

Cash flow

Disc : Rate 12%

Present value

A

B

C

D

E

F

G

H

I

A+B

C*(1-tax rate)

D+ (1200*1)

E+F+G

H*I

1200*(18-1)

(300*15)

(200000/4)*0.3

0

-200000

-200000

1.00

-200000.00

1

20400

-4500

15900

11130

12330

15000

27330

0.89

24401.79

2

20400

-4500

15900

11130

12330

15000

27330

0.80

21787.31

3

20400

-4500

15900

11130

12330

15000

27330

0.71

19452.95

4

20400

-4500

15900

11130

12330

15000

27330

0.64

17368.71

Net present value

-116989.24

Answer : Quick Computing should not adopt this project as NPV of Project is Negative (-116989.24)

Figures in $

Year

New chip gross profit after overhead

Old chip gross profit loss

Total additional profit before tax

Total additional profit After tax

Total additional profit After tax + overhead allocation addition

Depreciation tax benefit

Cost of equipment

Cash flow

Disc : Rate 12%

Present value

A

B

C

D

E

F

G

H

I

A+B

C*(1-tax rate)

D+ (1200*1)

E+F+G

H*I

1200*(18-1)

(300*15)

(200000/4)*0.3

0

-200000

-200000

1.00

-200000.00

1

20400

-4500

15900

11130

12330

15000

27330

0.89

24401.79

2

20400

-4500

15900

11130

12330

15000

27330

0.80

21787.31

3

20400

-4500

15900

11130

12330

15000

27330

0.71

19452.95

4

20400

-4500

15900

11130

12330

15000

27330

0.64

17368.71

Net present value

-116989.24