Wingman Distributing Company is expanding its supply chain to include a new distribution hub in South Bend. A key decision involves the number of trucks for the facility. The particular model of truck Wingman is considering can be used 5,000 miles a month and will cost $900 a month in capital costs. In addition, each mile a truck is used costs $0.90 for maintenance. A local truck rental firm will rent trucks at a cost of $1.80 per mile. Given the distribution of likely requirements for trucks, management has come up with three alternatives to consider as shown in the table: Monthly requirements (miles) 50,000 100,000 150,000 Probability 0.20 0.50 0.30 Fleet size (trucks) 10 20 30 Which fleet size will yield the lowest expected monthly costs for Wingman?

Transworld Deliveries is expanding its contract home delivery service into the Northeastern United States. The company anticipates that to accommodate this expansion it will need between 25 and 40 staffed delivery vehicles. Transworld is currently moving 25 of its own vehicles, with drivers, into the Northeast. The daily cost of operating its own fleet is $820 per vehicle, while the daily cost of leasing a vehicle and driver is expected to be $1,200 per vehicle. The expected demand requirements follow: Requirements (in vehicles) 25 30 35 40 Probability 0.25 0.25 0.25 0.25 Using an expected value approach, should Transworld purchase additional vehicles and hire additional drivers? If so, how many would you recommend?