question archive Chemco is a business that produces pain medication (in boxes with 500 bottles of medication per box)
Chemco is a business that produces pain medication (in boxes with 500 bottles of medication per box)
Subject:Electrical EngineeringPrice: Bought3
Chemco is a business that produces pain medication (in boxes with 500 bottles of medication per box). There are three possible plants, denoted by i ∈ I = {1, 2, 3} that can be used for production (if needed). The annual capacity (in boxes) of each plant is given by c p i . The produced pain medication can be shipped (in boxes) through one of four warehouses, denoted by j ∈ J = {1, . . . , 4}, with a maximum capacity of c w j (in boxes per warehouse). The cost (in R/bottle) of producing pain medication at each plant is given by vi . The distance (in km) between plant i and warehouse j is given by d 1 ij and it costs the company R2 to transport one box of medication for one kilometer. Chemco has seven customers, denoted by k ∈ K = {1, . . . , 7}. The distance (in km) between warehouse j to customer k is given by d 2 jk. Each customer's annual demand (in bottles) is denoted by ak. If a plant or a warehouse is used to produce or store medication, a fixed annual cost of operating that plant or warehouse is incurred. The fixed cost of operating plant i and the fixed cost of operating warehouse j are given by o p i and o w j respectively. Formulate a Pure Integer Linear Program (PILP) to help Chemco determine which plants and warehouses to use in order to minimise the total facility, production and transportation cost of satisfying the annual demand for pain medication. ? ?
