AMO makes 10 product families (i) of tile at four plants (p) to meet demands (square feet) at 120 sales distribution points (k). Variable costs of production and transportation total Ci,p,k per square foot to make tile of family i at plant p and ship to sales distribution points (SDP) k. Each plant can produce up to 100% of capacity, with Ui,p being the capacity if plant p makes only group i. Management wants to find a minimum total cost way to meet demand. Formulate an LP model to compute an optimal plan