Please provide full solution for the following problems: 4. The Holt method (exp

Question

Please provide full solution for the following problems:

4. The Holt method (exponential smoothing with trend and without seasonality) is being used to forecast weekly car sales at Fairfax Ford. Currently, the base is estimated to be 40 cars per week, and the trend is estimated to be 5 cars per week. During the current week, 50 cars are sold. Assume a-B 0.4. After observing the current week's sales, Forecast the number of cars to be sold during next week. (b) (7)Forecast the number of cars to be sold during next next week (the week after next week)

Explanation / Answer

Please find answer to question #3 :

Following information have been provided :

Arrival rate = a = 300 / second

Service rate = s = 1/ 0.002 = 500 per second

= a^2/ S x ( s – a )

= 300 x 300 / 500 x ( 500 – 300)

= 300 x 300/ ( 500 x 200)

= 0.9

Therefore , probability that 1 or more packets are waiting in the queue

= 1 – Probability that Zero packets are waiting in the queue

= 1 – 0.4

= 0.6

= a/ S x ( s -a ) seconds

= 300/ 500 x ( 500 – 300) seconds

= 300/ ( 500 x 200) seconds

= 0.003 seconds

d)Revised arrival demand = a = 150 % of 300/second = 450 / second

Average waiting time = a/S x ( s – a ) = 450 / 500 x ( 500 – 450 ) = 450 / ( 500 x 50) = 0.018 seconds

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