Need help with problems 2 and 3, thank you.

Problem 1 (8 pts): You own a hot-mix asphalt plant and must provide asphalt for two construction sites tomorrow using two different asphalt mixes. The first site is an airport runway project with a much more demanding pavement design, whereas the second site is a residential neighborhood using a fairly typical asphalt mix. The airport project is also more profitable than the residential project. The resource requirements for each mix type are shown below: Binder (per ton) 23 12 Polymer (per ton) 11 Profit ($ per ton) 85 50 Airport Mix Residential Mix You need to decide how many tons of each mix type to produce tomorrow. Your small batch plant has a capacity of 40 tons of hot-mix asphalt per day. Further, you have only 700 units of binder available and 200 units of polymer additive. You are contracted to deliver at least 10 tons of airport mix and at least 15 tons of residential mix. You decide to use a linear program (LP) to help you make your decision. How would you organize your LP? (Provide the elements of the LP listed below - do not solve your LP yet!) Sets/Indices: Data & Parameters: Decision Variable(s): Objective Function: Constraints: Problem 2 (12 pts): Solve the model in Problem 1 using the simplex method. Problem 3 (6 pts): Formulate and solve the model in Problem 1 using GAMS