childcare centre is a non-profit community | My Assignment Tutor

RMIT Classification: TrustedSCMD: ASSESSMENT 2The childcare centre is a non-profit community and has been in the business for over 20 years.It is in Melbourne managed by a local university to provide high quality care for children ofuniversity staff and students. Its aim is to provide a safe, supportive environment for childrento 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 mixedin 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 akindergarten. According to the Assistant Coordinator, the current numbers of childrenattending each day in each room and the maximum room capacities are summarised in thetable below: Room 1Room 2Room 3Room 4Room 5Max Capacity1216161622Age (years)< 3< 3< 33–44+Monday101413916Tuesday111014158Wednesday78161320Thursday912121018Friday1211101617 According to the National Quality Framework (NQF), the minimum ratio of educators tochildren is 1:4 for 0–35 months and 1:11 for 36+ months. Although the NQF ratios arecalculated across the service, and not by individual rooms, for practical and safety reasons,the centre calculates the ratio on a room-by-room basis.Generally, there are two levels of qualifications required to work as educators: Certificate IIIand Diploma. To comply with the NQF and to offer high quality care, in each room, the centrerequires one educator must have a Diploma qualification for every three educators. Forexample, if Room 1 requires 3 educators, one of them must have a Diploma (i.e. as a roomleader) and the other two may have either a Diploma or a Certificate III qualification. However,if Room 1 requires 4 educators, two of them must have a Diploma qualification as a minimum.The centre has 16 permanent educators which are summarised in the table below: EducatorQualificationWorking TimeWorking Day1Diploma09:30–18:00Mon–Fri2Certificate III09:00–16:30Mon–Fri3Certificate III10:00–17:30Mon–Fri4Diploma07:30–16:00Mon–Thu5Certificate III10:00–17:30Mon–Fri6Diploma07:30–16:00Mon–Fri7Diploma09:30–18:00Mon–Fri8Certificate III10:00–17:30Mon–Fri9Certificate III09:00–16:30Mon–Fri10Diploma07:30–16:00Tue–Fri11Diploma09:30–18:00Mon–Fri12Certificate III09:30–16:30Mon–Fri13Certificate III09:00–17:30Mon–Fri xxxxxxxxxxxxxxxxxxxxxxxRMIT Classification: Trusted 14Diploma07:30–16:00Mon–Fri15Diploma09:30–18:00Tue–Fri16Certificate III09:30–17:00Mon–Fri In addition, the centre has a contract with the agency. If the centre requires additional qualifiededucators, either Certificate III or Diploma, they can contact the agency for an arrangement.The agency educators are paid only when needed, and there is no on-going cost required.Currently, the centre has booked eight educators on standby through the agency. The centre,however, can ask the agency to provide more educators if needed.The centre pays the wages to the permanent educators according to the Children’s ServicesAward 2010. The wages depend on the experience and qualifications of the educators whichare summarised below: LevelExperienceHourly Rate3.1On commencement$23.093.2After 1 year$23.893.3After 2 years$24.644.1On commencement$27.214.2After 1 year$27.624.3After 2 years$28.03 Level-3 employees are Certificate-III qualified educators, and Level-4 employees are Diplomaqualified educators. All permanent educators in this centre have more than two years ofexperience working in this industry. The hourly wage to hire an agency educator, whetherCertificate III or Diploma, is $52.67; and they will always work for the full eight hours.Since one of the duties of educators is to engage and familiar with children, when they areassigned to supervise one room, they will stay in the same room for the whole day and week.The centre opens at 06:30 and closes at 18:30. Due to the availability of the permanenteducators, the centre also hires casual educators to cover for the permanent ones during theopening time, lunch break, and closing time, which are approximately a few hours per day. Asa result, the management has decided to ignore the working time of each permanent educatorand focus on the main problem which is how to schedule the permanent educators for thewhole week. To simplify the problem, the centre does not group children from different roomsinto a single room when there are only few of them present (i.e. in the early morning and inthe evening). The centre also assumes that all children are present for the whole day.With all the details above, the Centre Manager, Margaret Hunt, wants to create a roster forthe educators with a minimum-cost plan. She wants the plan that (1) each permanent educatorwill be given a job to do and (2) in case that there are insufficient educators, an agencyeducator will be given a job:a. Formulate and implement the mathematical model to solve this problemb. 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 4 and 10 are going to be on paid leave next week, what is a new minimumcost plan that the manager should adopt?xxxxxxxxxxxxxxxxxxxxxxx

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