X=16

(Replace X in the question with its value in the table of page 2.) A factory needs to deliver its products to customers by truck. Its daily transportation demand is measured by the number of containers. Each truck can carry 2 containers. The demand in past 20 days are listed in the following table. Table 4.1: Demand (container) in the past 20 days 24 18 22 X 26 18 14 18 20 22 18 16 24 12 12 14 20 18 26 16 Assume that the distribution function of the daily demand is the same as its empirical distribution of the past 20 days. The daily fixed cost of a truck is 10 even when the truck is idle. The daily operation cost is 5 when a truck is used. The daily outsourcing cost of a truck is 20. Q4.1 Find the optimal number of trucks to own in the fleet to minimize the expected daily total cost. (1 point) Q4.2 What is the daily expected number of containers that are transported by outsourcing when the optimal number of trucks are purchased? (1 point) Q4.3 What is the expected daily total cost for the factory when the optimal number of trucks are purchased? (2 points)