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Problem $7(15$ pts$)$ Calculate Overall Equipment Effectiveness $($OEE$)$ for the machine which has production data as below:

Total time scheduled: $1$ shift with $8$ hours shift Length

Planned downtime: shift huddle: $10$ minutes

Break $1$: $10$ minutes

Lunch: $30$ minutes

Break $2$: $10$ minutes

Setup time: $15$ minutes

Un$-$planned downtime: $30$ minutes

Ideal cycle time: $1$ part every $63$ seconds

Total count: $360$ parts

Good count: $355$ parts