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 8,000 miles a month and will cost ​$1,500 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 ​$1.70 per​ mile, which includes the maintenance costs for those miles. Given the distribution of likely requirements for​ trucks, management has come up with three alternatives to consider as shown in the table.
                                                                                                                      LOADING...
Monthly requirements​ (miles)
40,000
80,000
120,000
Probability
.30
.40
.30
Fleet size​ (trucks)
5
10
15

Part 2
Which fleet size will yield the lowest expected monthly costs for​ Wingman?
A fleet size of
  
enter your response here trucks is the lowest cost​ alternative, with expected monthly costs to Wingman of ​$
  
enter your response here. ​(Enter your responses as​ integers.)