Kal Tech Engineering Systems is considering buying a CNC machining center for its operation in Tennessee. The net benefits in the first year is estimated to be $40,000 and increasing at the rate $5,000 for the next four years and stays at the same level as that of year 5 for the next 5 years. If MARR is 8%, determine the amount of money that the company can invest justifying on this machining center. A salvage value of 20% of the initial cost is reasonable to assume at the end of year 10.

If investment amount is at most equals to $396,311.20 then this project is justifiable.

Explanation:

Lets find Present worth of this project so that this calculated present worth amount equals to the amount of money that the company can invest

Present worth of project = Sum of discounted future cash flow over the life of project  = PW of Benefits + PW of Salvage value

X=(40000/1.08)+(45000/1.08^2)+(50000/1.08^3)+(55000/1.08^4)+(60000/1.08^5)+(60000/1.08^6)+(60000/1.08^7)+(60000/1.08^8)+(60000/1.08^9)+(60000/1.08^10)+(0.2X/1.08^10)

X=359612.8+0.2X/(1.08^10)

X=359612.8+0.0926X

0.9074X=359612.8

X = 359612.8/0.9074

X = 396311.2

Conclusion: if investment amount is at most equals to $396311.2 then this project is justifiable

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.

answer social mobility;