Solution :
a).
Particulars Details
Selling price per unit 37
Less : variable cost per unit -21
Margin per unit 16
No. of units sold per unit 70,000
Gross margin 11,20,000
Less : fixed cost - 7,25,000
Profit before depreciation and tax 3,95,000
Less : depreciation -80,500
Profit before tax 3,14,500
Less : Tax -1,10,075
Net profit per year 2,04,425
Project Cost 6,44,000
Accounting breakeven point in years 3.15
b).
Calculating the base Cash - Cash flow and NPV
Particulars Amount
Net profit per year 2,04,425
Add : depreciation 80,500
Base Cash cashflow 2,84,925
Required rate of return 15%
Present value of base cash cash flow 12,78,550
received in 8 years.
Project cost -6,44,000
NPV 6,34,550
The present value of base cash cash flow received in 8 years is calculated as Present value of annuity received at the end of each year $ 2,84,925 at the rate of interest 15% for a period of 8 years.
The sensitivity of the NPV to 500 units decrease in projected sales :
Particulars Details
Selling price per unit 37
Less : variable cost per unit -21
Margin per unit 16
Number of units sold per year 69,500
Gross margin 11,12,000
Less : fixed cost -7,25,000
Profit before depreciation and tax 3,87,000
Less : depreciation -80,500
Profit before tax 3,06,500
Less : tax -1,07,275
Net profit per year 1,99,225
Add : depreciation 80,500
Base Cash cashflow 2,79,725
Required rate of return 15%
Present value of base cash cash flow 12,55,216
received in 8 years.
Project cost -6,44,000
NPV 6,11,216
Original NPV 6,34,550
Sensitive NPV -23,334
c).
Particulars Details
Selling price per unit 37
Less : variable cost per unit -20
Margin per unit 17
No. of units sold per year 70,000
Gross Margin 11,90,000
Less : fixed cost -7,25,000
Profit before depreciation and tax 4,65,000
Less : Depreciation -80,500
Profit before tax 3,84,500
Less : tax -1,34,575
Net profit per year 2,49925
Add : depreciation 80,500
Operating cash flow 3,30,425
Original operating cashflow 2,84,925
Sensitivity of OCF 45,500