Lark would like to drink 4 glasses of home-made lemonade today and an additional 3 glasses tomorrow. There are two neighbors on her block with kids selling lemonade. Manu is able to sell her up to 3 glasses of his lemonade. Hes charging $3.35 per glass today and will charge $3.10 per glass tomorrow. Samantha is able to sell up to 5 glasses of her lemonade, at $3.55 per glass today and at $3.40 per glass tomorrow. Transportation models are quite flexible. Origins and destinations dont 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 Lark 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 Lark decide how much lemonade to purchase from each neighbor and when. (You do not need to find the optimal solution)