Questions: 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/month) A. 3,360 B. 14,400 C. 13,440 D. 100,800

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/month) A. 3,360 B. 14,400 C. 13,440 D. 100,800
Transcript text: 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/month) A. 3,360 B. 14,400 C. 13,440 D. 100,800
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Solution

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Solution Steps

To find the total number of items produced in one month, calculate the number of items produced per day and then multiply by the number of days in a month. First, determine the daily production by multiplying the hourly production rate by the number of hours in a day. Then, multiply the daily production by the number of days in a month.

Step 1: Calculate Daily Production

The assembly line produces \(20\) items per hour. Given that it runs for \(24\) hours a day, the daily production can be calculated as follows:

\[ \text{Daily Production} = 20 \, \text{items/hour} \times 24 \, \text{hours/day} = 480 \, \text{items/day} \]

Step 2: Calculate Monthly Production

To find the total production in one month (assuming \(30\) days in a month), we multiply the daily production by the number of days:

\[ \text{Monthly Production} = 480 \, \text{items/day} \times 30 \, \text{days} = 14400 \, \text{items} \]

Final Answer

The total number of items produced by the machine in one month is \(\boxed{14400}\).

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