OMGT2287 - Supply Chain Modelling and Design - Case Study - Supply Chain Assignment Help

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The childcare centre is a non-profit community and has been in the business for over 20 years. It is located in Melbourne managed by a local university to provide high quality care for children of university staff and students. Its aim is to provide a safe, supportive environment for children to meet the needs of children and families.
The centre has four floors with five rooms. Rooms 1–3 are for children under the age of 3. Room 4 is mainly for children at the age of 3 but this room has some 4-year-old children mixed in due to a transition to a kindergarten. Room 5 is mainly for children at the age of 4. However, some 5-year-old children still attend because they are waiting for a term to open in a kindergarten.

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 opens at 06:30 and closes at 18:30. Due to the availability of the permanent educators, the centre also hires casual educators to cover for the permanent ones during the opening time, lunch break, and closing time, which are approximately a few hours per day. As a result, the management has decided to ignore the available time of each permanent educator and focus on the main problem which is how to schedule the permanent educators for the whole week. To simplify the problem, the centre does not group children from different rooms into a single room when there are only few of them present (i.e. in the early morning and in the evening). The centre also assumes that all children are present for the whole day.
With all the details above, the Centre Manager, Aideen Byrne, 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 day?

e) If Educators 6 and 7 are going to be on leave next week, what is a new minimum-cost plan that the manager should adopt?

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