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Answer :
Sure! Let's solve this problem step by step to find out how many items are made by the machine in one month.
1. Calculate the number of items produced per day:
- The assembly line produces 20 items per hour.
- It runs for 24 hours per day.
To find the total number of items produced in one day, multiply the number of items produced per hour by the number of hours the line runs in a day:
[tex]\[
\text{Items per day} = 20 \, \text{items/hour} \times 24 \, \text{hours/day} = 480 \, \text{items/day}
\][/tex]
2. Calculate the number of items produced in one week:
- The line runs 7 days per week.
To find the total number of items produced in one week, multiply the number of items produced in one day by the number of days in a week:
[tex]\[
\text{Items per week} = 480 \, \text{items/day} \times 7 \, \text{days/week} = 3,360 \, \text{items/week}
\][/tex]
3. Calculate the number of items produced in one month (30 days):
To find the total number of items produced in one month, multiply the number of items produced in one day by the number of days in a month:
[tex]\[
\text{Items per month} = 480 \, \text{items/day} \times 30 \, \text{days/month} = 14,400 \, \text{items/month}
\][/tex]
Thus, the machine produces 14,400 items in one month. The correct answer is B. 14,400.
1. Calculate the number of items produced per day:
- The assembly line produces 20 items per hour.
- It runs for 24 hours per day.
To find the total number of items produced in one day, multiply the number of items produced per hour by the number of hours the line runs in a day:
[tex]\[
\text{Items per day} = 20 \, \text{items/hour} \times 24 \, \text{hours/day} = 480 \, \text{items/day}
\][/tex]
2. Calculate the number of items produced in one week:
- The line runs 7 days per week.
To find the total number of items produced in one week, multiply the number of items produced in one day by the number of days in a week:
[tex]\[
\text{Items per week} = 480 \, \text{items/day} \times 7 \, \text{days/week} = 3,360 \, \text{items/week}
\][/tex]
3. Calculate the number of items produced in one month (30 days):
To find the total number of items produced in one month, multiply the number of items produced in one day by the number of days in a month:
[tex]\[
\text{Items per month} = 480 \, \text{items/day} \times 30 \, \text{days/month} = 14,400 \, \text{items/month}
\][/tex]
Thus, the machine produces 14,400 items in one month. The correct answer is B. 14,400.
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