You are trying to assign students from different villages to central school. Suppose there are $3$

villages with $30,50$ and $20$ students each. The two centralized schools have capacities of $70$ and

$60$ students. The distances between the villages and the schools are shown in the matrix below.

$3045$

$5020$

$8025$

Formulate the problem Suppose that the buses available tot each district each have a capacity of $35$ students. Formulate

constraints to ensure that there are no overfilled buses.

In addition to the constraints, it is required that each school is filled at least $75\%$ capacity