Raphael Restaurant is considering the purchase of a 9600 sou

Raphael Restaurant is considering the purchase of a $9,600 soufflé maker. The soufflé maker has an economic life of eight years and will be fully depreciated by the straight-line method. The machine will produce 1,800 soufflés per year, with each costing $2.20 to make and priced at $5.05. Assume that the discount rate is 10 percent and the tax rate is 40 percent. What is the NPV of the project?

Should Raphael make the purchase?

Solution

1) Calculation of NPV of the project :

     Initial outlay :

                              Cost of the machine = $9600

     Annual depreciation

                                Depreciation = $1200     (9600/8years(straight line)

     Calculation of Net annual cashflow :                       

Calculation of NPV :

                = - Initial investment + Net annual cash flow * (PVAIF@10%,8years)Cumulative

                = -$9600 + 3558 * 5.335

                = $9382

Decision : Since the NPV was positive it is better to Purchase the machine.

Particulars Amount($)
Sales (1800*5.05) 9090
Less : Variable cost(1800*2.20) (3960)
Gross margin 5130
Less : Depreciation (1200)
Profit before tax 3930
Less : Tax@40% (1572)
Profit after tax 2358
Add : Depreciation 1200
Net annual cash flow 3558

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