This document contains two multi-part questions related to dynamic programming and queuing theory. The first question asks about the essential characteristics of dynamic programming problems and how a problem is solved using dynamic programming. The second question provides a linear programming problem to solve using a dynamic programming approach, maximizing a function subject to constraints. The third question relates to a queuing model of a barber shop with limited seating and customer arrivals and service times, asking for metrics like utilization and expected wait times.