College

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 :

To solve the problem of how many items the assembly line produces in one month, we need to look at the following aspects:

1. Items produced per hour: The assembly line produces 20 items each hour.

2. Hours in a day: The line runs continuously for 24 hours a day.

3. Days in a month: We assume a month has 30 days.

Step-by-step solution:

- Calculate items produced per day:
- Since there are 24 hours in a day, and the machine produces 20 items each hour, we can calculate the number of items made in one day by multiplying these values:
[tex]\[
20 \, \text{items/hour} \times 24 \, \text{hours/day} = 480 \, \text{items/day}
\][/tex]

- Calculate items produced in the month:
- With 30 days in a month, and knowing the machine produces 480 items in a day, we multiply the daily production by the number of days in the month to find the total monthly production:
[tex]\[
480 \, \text{items/day} \times 30 \, \text{days/month} = 14,400 \, \text{items/month}
\][/tex]

Therefore, the assembly line produces 14,400 items in one month. So, the correct answer is B. 14,400.