69% A FA Additional question on model P and Q. Question 1: Hunda stores are planning to setup a multiple-floored facility. They are planning to use an existing four floored facility for placing nine departments. Assume that following information is given: Department i has area A., and floor g has a total area of S,. The flow per day between department i and j is given as fix. The cost per unit flow is c; between department i and j a) Write a linear integer model, say me that minimizes total flow distance. b) Modify or add constraints in M to incorporate the following scenario: *Department 2 should be placed on the first floor c) Modify or add constraints in M to incorporate the following scenario: **If Department 3 is placed on the second floor, then Department i cannot be placed on the first floor d) Modify or add constraints in M to incorporate the following scenano: **Department 4 cannot be placed on the same floor as Department 5 e) Modify or add constraints in Mito incorporate the following scenario: "Total number of departments in floor should be strictly higher than total number of departments in floor 2. Moreover the total number of departments on floor 2 must be strictly higher than total number of departments on floor 37||