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

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.

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:

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

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