In an organization, the number of plants (m) is equal to 5 and the number of proposed potential sites (n) is equal to 4.

The data are shown below.

Distance Matrix [d]

Proposed Potential Site ( j)

1 2 3 4 1 15 5 20 15 2 5 10 15 20 Plant-i 3 20 10 5 10 4 15 20 15 25 5 10 25 10 30 Volume of Materials (Loads/Period [v])
Plant-i 1 2 3 4 5 Loads/period(v) 200 150 500 400 300

(a) Develop a mathematical model for the above problem to fix atmost 3 warehouses such that the total cost of transportation is minimized.

(b) Solve the model using any operations research software (Only for assignment purpose).AppendixLO1