The Gulf Shipping Company in Dubai, UAE, has four terminal docks in its warehouse. Arriving trucks form a single line and use one of the four available docks for loading and unloading of the cargo. Truck arrivals are Poisson distributed, and the average arrival rate of truck is 8 trucks per hour. The loading/unloading times of cargo have a negative exponential distribution, and the average time to load/unload a truck is 20 minutes.

1. Compute P₀, L_q, W_q, L_s, and W_s for this terminal dock waiting line system.

2. If the average cost of loading/unloading a truck per terminal dock is $100 an hour, and the average waiting time cost of a truck is $150 an hour, compute the total expected cost per day. Assume a 10-hour working day.