Clearly specify all the constraints such that only constants appear on the right-hand sides of constraints. Only use the variables defined in the problem. Use of any other variable can lead to a reduction in marks. Atkinson Apple Products (AAP) owns orchards in the El Dorado region where it grows apples. It then ships these apples to its three processing facilities in Appleton (A), Broadway (B) and Columbus (C) where a variety of apple products are manufactured. Recently, as the economy has improved, AAP has experienced a growth in its product demand so it wants to purchase one or more orchards to produce more apple products. AAP is considering six new orchards. Following binary variables are defined. Yi = 1 if orchard 'i' is purchased, 0 if not where i=1, 2, 3, 4, 5, 6 They are looking your help in adding constraint's for the LP formulation with following restrictions; answer each part independently. (II-a) Write a single constraint that if orchard-3 or orchard-5 or both are purchased, then they must also purchase orchard-2. (II-b) Write a single constraint that if orchard-1 is purchased, then they must also purchase orchard- 2 or orchard-3 or both. (II-c) Write a single constraint that if orchard-1 is purchased, then they must also purchase orchard- 4 and orchard-5. (II-d) Write a single constraint that orchard-4 can only be purchased if orchard-3 is purchased.