The distribution system for the Herman Company consists of three plants, two warchouses, and four customers. Plant capacities and shipping costs per unit (in Dirhams) from cach plant to each warchouse are as follows: Customer demand and shipping costs per unit (in Dirhams) from cach warehouse to cach customer are: (a) Develop a network representation of this problem. (2 Marks) (b) Formulate a linear programming model of the problem. (2 Marks) Now suppose that shipments between warehouse 1 and warehouse 2 are pernimted (both ways) at 2 Dirhams per unit and that direct shipments can be made from plant 3 to customer 4 at a cost of 7 Dirhams per unit. (c) Develop a network representation of this problem. (2Marks) |You don't have to draw a new network representation - You can just make additions to the network drawn in (a) above if possible using a different ink]. (d) Now formulate a linear programming model for the problem with the added information