Continuation. In the preceding batch-service model, let T n denote the time of the nth service completion, where T 0 = 0. Show thatAssume that C + ci is the cost for serving a batch of size i, and hi...

Continuation. In the preceding batch-service model, let T_n
denote the time of the nth service completion, where T₀
= 0. Show thatAssume that C + ci is the cost for serving a batch of size i, and hi is the cost per unit time for holding i items in the queue. Show that the expected service plus holding cost in a time interval (T_n, T_n+1] given X_n
= i is