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------------------------------------------------ An assembly line produces 20 items per hour. If the line runs 24 hours per day, 7 days per week, how many items are made by this machine in one month? (Assume 30 days per month)

A. 3,360
B. 14,400
C. 13,440
D. 100,800

Answer :

Sure! Let's solve this problem step-by-step:

1. Items Produced Per Hour: The assembly line produces 20 items in one hour.

2. Hours in a Day: The line operates for 24 hours in a day.

- So, to find out how many items are produced in a day, you multiply the items produced per hour by the hours in a day:
[tex]\[
\text{Items Per Day} = 20 \, \text{items/hour} \times 24 \, \text{hours/day}
\][/tex]
[tex]\[
\text{Items Per Day} = 480 \, \text{items}
\][/tex]

3. Days in a Month: For this problem, we are using a 30-day month.

- To find the total number of items produced in a month, multiply the items produced per day by the number of days in the month:
[tex]\[
\text{Items Per Month} = 480 \, \text{items/day} \times 30 \, \text{days/month}
\][/tex]
[tex]\[
\text{Items Per Month} = 14,400 \, \text{items}
\][/tex]

Therefore, the machine produces 14,400 items in one month. The correct answer is option B, 14,400.