Question

A production line is to be designed for a product whose completion requires 21 minutes of work. The factory works 400 minutes per day. If the longest individual task requires 5 minutes of work, can the production line make 100 units per day?

A) Yes, with exactly 100 minutes to spare
B) No
C) Yes, with a perfectly balanced line
D) Yes, but the line's efficiency is very low

Answer 1

No, the production line cannot make 100 units per day since producing 100 units would require 2,100 minutes and the factory only operates for 400 minutes per day.

Step-by-step explanation:

To determine if a production line can output 100 units per day when each unit requires 21 minutes of work and the factory operates for 400 minutes per day, a simple capacity calculation can be done. If the longest task takes 5 minutes, it does not directly determine the output as it depends on the overall balance and efficiency of the production line. Calculating the total minutes required for 100 units gives us 2,100 minutes (100 units × 21 minutes per unit). Since there are only 400 minutes in a workday, the production line would not be able to produce 100 units per day.

No, the production line cannot make 100 units per day. The factory works for 400 minutes per day, and each unit requires 21 minutes of work. So, the maximum number of units the production line can make is 400/21 = 19 units per day. Therefore, the production line cannot make 100 units per day. If the longest task takes 5 minutes, it does not directly determine the output as it depends on the overall balance and efficiency of the production line. Calculating the total minutes required for 100 units gives us 2,100 minutes (100 units × 21 minutes per unit). Since there are only 400 minutes in a workday, the production line would not be able to produce 100 units per day.