Reference no: EM132589550

he milk plant at a city distributes its products by trucks, loaded at the loading dock. It has its own fleet of trucks plus trucks of a private transport company. This transport company has complained that sometime its trucks have to wait in line and thus the company loses money paid for a truck and driver that is only waiting. The company has asked the milk plant management either to go in for a second loading dock or discount prices equivalent to the waiting time. The following data are available:

Average arrival rate (all trucks) = 3 per hour

Average service rate = 4 per hour

Question 1: The transport company has provided 40% of the total number of trucks. Assuming that these rates are random according to Poisson distribution, determine;

i. The probability that a truck has to wait

ii. The waiting time of a truck that waits

The expected waiting time of company trucks per day