The president of state university wants to forecast student enrollment for this academic year based on the following historical data: year enrollments 5 years ago 15,000 4 years ago 16,000 3 years ago 18,000 2 years ago 20,000 last year 21,000

what is the forecast for this year using exponential smoothing with trend if α = 0.5 and β = 0.3? assume the forecast for last year was 21,000 and the forecast for two years ago was 19,000, and that the trend estimate for last year’s forecast was 1,500.

Anew 2-lane road is needed in a part of town that is growing. at some point the road will need 4 lanes to handle the anticipated traffic. if the city's optimistic estimate of growth is used, the expansion will be needed in 4 years and has a probability of happening of 40%. for the most likely and pessimistic estimates, the expansion will be needed in 8 and 15 years respectively. the probability of the pessimistic estimate happening is 20%. the expansion will cost $ 4.2 million and the interest rate is 8%. what is the expected pw the expansion will cost?