Jefferson Company$$s demand for its only product exceeds its manufacturing capacity. The company provided the following information for the machine whose limited capacity is prohibiting the company from producing and selling additional units.

Actual run time this week $6,880$ minutes

Machine time available per week $8,600$ minutes

Actual run rate this week $6\mathrm{.}39$ units per minute

Ideal run rate $9$ units per minute

Defect$-$free output this week $13,528$ units

Total output this week $($including defects$)15,200$ units

Solve the following :

$1.$ Compute the utilization rate. $($Round your answer to $2$ decimal places.$)$

$2.$ Compute the efficiency rate. $($Round your answer to $2$ decimal places.$)$

$3.$ Compute the quality rate. $($Round your answer to $2$ decimal places.$)$

$4.$ Compute the overall equipment effectiveness $($OEE$).($Do not round intermediate calculations. round your final answer to $3$ decimal places.$)$