High School

A manufacturer has several identical machines that can be used to produce a product. Each unit requires 36 minutes of machine time. Each machine can be used for 12 hours per day and 5 days per week.

How many days will it take to produce 636 units if the manufacturer uses 5 machines? Use at least 4 decimals in your calculation and answer.

Answer :

It will take approximately 1.272 days to produce 636 units using 5 machines.

To calculate the number of days required to produce 636 units using 5 machines, consider the machine capacity and production time.

Given information:

- Each unit product requires 36 minutes of machine time.

- Each machine can be used for 12 hours per day and 5 days per week.

Step 1: Calculate the total machine capacity per week:

Each machine can be used for 12 hours per day, so the total machine capacity per day is 12 hours.

Since there are 5 machines, the total machine capacity per day is 12 hours * 5 machines = 60 hours.

As there are 5 working days per week, the total machine capacity per week is 60 hours * 5 days = 300 hours.

Step 2: Calculate the total machine time required to produce 636 units:

Each unit product requires 36 minutes of machine time.

So, the total machine time required to produce 636 units is 36 minutes per unit * 636 units = 22,896 minutes.

Step 3: Convert the machine time to hours:

22,896 minutes ÷ 60 minutes per hour = 381.6 hours.

Step 4: Calculate the number of days required to produce 636 units using 5 machines:

Total machine capacity per week = 300 hours.

Number of days required = Total machine time required ÷ Total machine capacity per week

Number of days required = 381.6 hours ÷ 300 hours = 1.272I

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