High School

A production manager plans to produce 100 units with the help of 25 workers who work 4 hours a day. How many units can be made by 40 workers if they work 3 hours per day?

Answer :

Final answer:

To calculate the number of units that can be made by 40 workers working 3 hours per day, we can use the concept of man-hours and the proportion method. Using this method, we find that 40 workers can make 120 units.

Explanation:

To calculate the number of units that can be made by 40 workers working 3 hours per day, we can use the concept of man-hours. The production manager in the given scenario has 25 workers working 4 hours per day to produce 100 units. This means that the total man-hours required to produce 100 units is 25 * 4 = 100.



If we assume that the same level of efficiency is maintained, we can find the number of units that can be made by 40 workers working 3 hours per day. The total man-hours for these workers is 40 * 3 = 120.



Using the concept of proportion, we can set up an equation to calculate the number of units:



100 units / 100 man-hours = x units / 120 man-hours



Cross-multiplying and solving for x, we get: x = (100 * 120) / 100 = 120 units.

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