QUESTION $4$

$(20$ points$)$

a$)$ Develop a mathematical model for QUESTION $2$ to cover all the districts with minimum cost. State all your variables, parameters and objective function clearly. DO NOT SOLVE THE MODEL. Write your mathematical model in open form. Plug in the values of the parameters.

b$)$ To be on the safe side, the municipality wants every district to be covered by at least two stations. How would your model in part $($a$)$ change in this scenario? Define any modification $($new variables, parameters, constraints etc.$)$ clearly.

ANSWER

Solve the question on a sheet of paper by hand, write your name and the question number on it$,$ either take a photo or scan the paper $($make sure it is readable$).$ Then, convert all the answer sheets $($Question $3$ and $4)$ to a single PDF$.$