Question

0. 1. There are 3 machine operators in a manufacturing factory. Every day, each operator works for a single shift of 7.5 hours. The factory operates 5 days a week.
1. Last month, in the first week (Week 1), the factory arranged overtime of 1 hours on 4 days for 2 machine operators. What is the utilization of operators in Week 1?
2. Because of the overtime in Week 1, there was no more overtime in Week 2. One of the operators even idled for 3 hours in 1 workday without anything to do. What is the utilization of operators in Week 2?

Answer 1

Answer

Problem Statement

• There are 3 machine operators in a manufacturing factory.
• Every day, each operator works for a single shift of 7.5 hours.
• The factory operates 5 days a week.

Part a)

Last month, in the first week (Week 1), the factory arranged overtime of 1 hours on 4 days for 2 machine operators. What is the utilization of operators in Week 1?

Answer –

• 3 machine operator works in a manufacturing factory.
• Per week total no of hours worked = No of operators * No of days in a week worked * No of hours per day worked.
• Implies per week total no of hours worked = 3 * 5 *7.5 hours
• Hence, (planned hours of work)/ per week total no of hours worked = 112.5 hours per week , planned capacity per week

As per part a)

• Last month, in the first week (Week 1), the factory arranged overtime of 1 hours on 4 days for 2 machine operators.
• therefore, extra hours worked = 2* 1 *4 = 8 hours in Week 1
• Hence Actual total hours worked = 112.5 + 8 = 120.5 hours in week 1

Hence, utilization in week 1

= Actual hours worked / Planned hours of work

= 120.5 / 112.5 = 1.0711 or 107.11%

Part b)

Because of the overtime in Week 1, there was no more overtime in Week 2. One of the operators even idled for 3 hours in 1 workday without anything to do. What is the utilization of operators in Week 2?

Answer –

• So, normal working hours per week in week 2 = 112.5 hours
• Idle hours for 1 operator in week 2 = 3 hours for 1 day.
• Hence, net hours worked in week 2 = normal working hours per week in week 2 - Idle hours for 1 operator in week 2
• = 112.5-3 = 109.5 hours per week
• Utilization of operators in week 2

= Actual hours worked / Planned hours of work

= net hours worked in week 2 / normal working hours per week in week 2

= 109.5/112.5

= 0.9733 or 97.33%