"Roper Spring Water" is considering a new bottling line that costs $230,000, last 4 years, and yields cost savings of $55,000 in year 1, $65,000 in year 2, and $75,000 in years 3 and 4. If the interest rate is 7%, what is the net present value of the machine? Should Roper Spring Water buy the machine?

Roper Spring Water should not buy the machine, since it produces a negative net present.

Explanation:

Summary of Cash Flows on the Machine are as follows :

Year 0 = ($230,000)

Year 1  = $55,000

Year 2 = $65,000

Year 3 = $75,000

Year 4 = $75,000

Interest rate = 7%

Using the CFj Function of the Financial calculator this will be computed as :

($230,000)  CF j 0

$55,000      CF j 1

$65,000      CF j 2

$75,000      CF j 3

$75,000      CF j 4

i/yr  = 7%

Therefore Net Present Value is - $3,385.13

Since this is a negative Net Present Value, Roper Spring Water should not buy the machine.

a manufacturer of printed circuit boards uses exponential smoothing with trend to forecast monthly demand of its product. at the end of december, the company wishes to forecast sales for january. the estimate of trend through november has been 200 additional boards sold per month. average sales have been around 1000 units per month. the demand for december was 1100 units. the company uses α = 0.20 and β = 0.10. make a forecast including trend for the month of january.