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2. Louise would like to drink 3 glasses of home-made lemonade today and an additional 3 glasses tomorrow. There are two neighbors on her block with kids selling lemonade. Dave is able to sell her up to 3 glasses of his lemonade. He's charging S3.00 a glass today and will charge $2.70 a glass tomorrow. Samantha is able to sell up to 4 glasses of her lemonade, at $2.90 a glass today and at $2.80 a glass tomorrow Transportation models are quite flexible. The "origins" and "destinations" don't necessarily need to be physical plants or warehouses. In this problem, there is a time component that can be modeled as different destinations consider the lemonade that Louise receives today as one destination and the lemonade she receives tomorrow as the second destination. a) Draw a network diagram representing the problem. b) Formulate a linear optimization model that can be used to help Michael decide how much beer to purchase from each neighbor and when. (You do not need to set up your model up in Excel and you do not need to solve it)