Mathematical formulation with constraints only. No MATLAB required.

Task 2 Transportation/Resource Allocation A product has 4 suppliers (A, B, C, D) that produce a total of 1500 units. All the units produced should be distributed to 6 demand stations/customers (P, Q, R, S, T, W). The transportation costs for transporting one unit from a supplier to a station are given in the following table: P 150 Q 440 R 215 S 230 T 225 w 240 Supplier A 5 Si=300 Supplier B 4 5 2 3 1 S2=500 Supplier C 6 9 1 5 S3=450 Supplier D S4=250 2 2 4 1 2 5 7 0 2 5 1 2 9 0 6 6 Let X be the integer quantities to be distributed from Suppliers (S=AB,C,D) to Demand stations (D.=P,Q, ...,W). The objective is to distribute the product such that Minimize 24i=126;=1 Cij Xisen subject to various constraints. Write down the mathematical formulation for this problem with the objective and all relevant constraints and discuss their meaning briefly. Solve the problem using either Excel Solver or Matlab/Octave to find its optimal solution. Check if the solution can indeed satisfy all the constraints