The Metropolitan Bus Company (MBC) purchases diesel fuel from American Petroleum Supply.

 The Metropolitan Bus Company (MBC) purchases diesel fuel from American Petroleum Supply. In addition to the fuel cost, American Petroleum Supply charges MBC $250 per order to cover the expenses of delivering and transferring the fuel to MBC’s storage tanks. The lead time for a new shipment from American Petroleum is 10 days; the cost of holding a gallon of fuel in the storage tanks is $0.04 per month, or $0.48 per year; and annual fuel usage is 150,000 gallons. MBC buses operate 300 days a year.

a. What is the optimal quantity for MBC?

b. How frequently should MBC order to replenish the gasoline supply?

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