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?
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