Company X is an online retailer delivers its orders to customers using their own cars. In high seasons, they use a third-party courier to deliver orders since their own cars cannot deliver due to capacity and time limitations, each car can deliver 22 orders/ day on a 9 hour working day. Company X currently have 15 cars and they want to know what is the cost effective number of cards they need to buy to fulfill the years orders (please see table for number of orders in each month throughout the year). Its cost Company X 15$/order when an ordered is delivered through their own cars and 25$/order when an order is delivered through 3rd party.

You can solve through excel if preferred.

February March April May June August October November December January 5567 July 10355 September 6792 7012 7546 8754 9275 11614 6320 5750 14372 5750