Q3 (10 points) Consider a bar that operates between 5pm and 3am. The demand rate is variable, and can be described as follows: Between 5pm and 9pm, the demand rate is 100 customers/hr Between 9pm and 11pm, the demand rate is 200 customers/hr Between 11pm and lam, the demand is constant and equal to 50 customers/hr After 1am, no new customers arrive To serve this demand, the bar has bartenders that work on different shifts. The restaurant knows that each bartender has a capacity of 50 customers/hour, and suppose that the bartenders can serve customers in parallel. In addition, we know that: Between 5pm and 8pm, there is only one bartender working at the restaurant After 8pm, and until the bar closes, there are two bartenders working in parallel demand rate and the service rate (or capacity) the restaurant. (a) Plot evolution of (5 points) (d) Draw the inventory build-up diagram. (5 points)