A manufacturer has several identical machines that can be used to produce a product. Each unit requires 100 minutes of machine time. The manufacturer has just received a new order of 660 units. Each machine can be used up to 13 hours per day.

How many machines are needed to complete the order in 9 days?

Use at least 4 decimals in your calculation and answer.

To complete the order of 660 units in 9 days, the manufacturer would need 10 machines. To determine the number of machines needed to complete the order in 9 days, we need to calculate the total machine time required and divide it by the available machine time per day.

Given data:

Number of units: 660

Machine time per unit: 100 minutes

Available machine time per day: 13 hours = 13 * 60 minutes = 780 minutes

Number of days: 9

Total machine time required = Number of units * Machine time per unit

= 660 * 100

= 66,000 minutes

Number of machines needed = Total machine time required / (Available machine time per day * Number of days)

= 66,000 / (780 * 9)

≈ 9.4

Since we can't have a fraction of a machine, we need to round up the number of machines to the nearest whole number:

Number of machines needed = 10

Therefore, to complete the order of 660 units in 9 days, the manufacturer would need 10 machines.

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