Since one of the duties of educators is to engage and familiar with children, when they are assigned to supervise one room, they will stay in the same room for the whole week. The Centre Manager, Joan Gilmore, wants to create a roster for the educators with a minimum- cost plan. She wants the plan that (1) each permanent educator will be given a job to do and (2} in case that there are not sufficient educators, an agency educator will be given a job: a) Formulate and implement the mathematical model to solve this problem b) How much will it cost for the plan? c) Which educator will be assigned to which room? d) Is there any available place for a new child to attend? Which room? Which clay