$35.$Fleet of Delivery Trucks. Schips Department Store operates a fleet of $10$ trucks. The trucks arrive at random times throughout the day at the store$$s truck dock to be loaded with new deliveries or to have incoming shipments from the regional warehouse unloaded. Each truck returns to the truck dock for service two times per $8-$hour day. Thus, the arrival rate per truck is $0\mathrm{.}25$ trucks per hour. The service rate is $4$ trucks per hour. Using the Poisson arrivals and exponential service times model with a finite call$-$ing population of $10$ trucks, determine the following operating characteristics. LO $5,8$a$.$The probability that no trucks are at the truck dockb.The average number of trucks waiting for loading$/$unloadingc$.$The average number of trucks in the truck dock aread.The average waiting time before loading$/$unloading beginse.The average waiting time in the systemf.What is the hourly cost of operation if the cost is $$50$ per hour for each truck and $$30$per hour for the truck dock?g$.$Consider a two$-$server truck dock operation where the second server could be operated for an additional $$30$ per hour. How much would the average number of trucks waiting for loading$/$unloading have to be reduced to make the two$-$server truck dock economically feasible?h$.$Should the company consider expanding to the two$-$server truck dock? Explain.