High School

A business analyst is deciding the amount of time allotted to each employee for meetings and training. He wants the sum of meeting and training time to be no more than 16 hours per month. Also, there should be at least one training hour for every two meeting hours. Finally, there should be at least 2 meeting hours per month to discuss short-term goals.

What is the difference between the maximum and minimum number of monthly training hours that could be allotted to an employee?

A) 10
B) 13
C) 14
D) 1

Answer :

Final Answer:

The difference between the maximum and minimum monthly training hours is 10 hours. Thus, the correct option is A) 10

Explanation:

The maximum training hours are determined by first allocating 2 hours for short-term goal discussions, leaving 14 hours for meetings and training. Since there must be at least one training hour for every two meeting hours, we allocate 4 hours for meetings and 12 hours for training.

Thus, the maximum training hours would be 12. The minimum training hours are calculated by allocating the maximum number of meeting hours (12) and the remaining time (4 hours) for training, ensuring the 2:1 ratio between meetings and training. Hence, the minimum training hours would be 4. The difference between the maximum and minimum training hours is 12 - 4 = 10 hours.

In this scenario, we first allocate 2 hours for discussing short-term goals. Then, we distribute the remaining time, ensuring there's at least one training hour for every two meeting hours. This leads to a maximum of 12 training hours. Conversely, we can allocate the maximum meeting hours (12) and distribute the remaining time for training to achieve the minimum training hours of 4. Therefore, the difference between the maximum and minimum training hours is 10 hours.

Thus, the correct option is A) 10

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