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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 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.

Answer :

To calculate the number of machines needed to complete an order in a specific timeframe, we determine the total machine time required and divide it by the available machine time per day. In this case, with an order of 660 units, each requiring 100 minutes of machine time, and 13 hours of machine time available per day for 9 days, approximately 84.6154 machines are needed.


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

Given:

- Number of units: 660

- Machine time per unit: 100 minutes

- Machine time available per day: 13 hours = 13 * 60 = 780 minutes

- Number of days: 9

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

= 660 * 100

= 66,000 minutes

Machines needed = Total machine time required / Machine time available per day

= 66,000 / 780

≈ 84.6154

Therefore, approximately 84.6154 machines are needed to complete the order in 9 days.



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