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 shortterm goals. What is the difference between the maximum and minimum number of monthly training hours that could be allotted to an employee? Choose 1 answer: (A) 10 hours (B) 13 hours (C) 14 hours (D) 16 hours

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Bytelearn · Accepted Answer

Understand Constraints: Understand the constraints given in the problem. We have two constraints: 1. The sum of meeting and training time should be no more than 16 hours per month. 2. There should be at least one training hour for every two meeting hours. Additionally, there is a requirement that there should be at least 2 meeting hours per month.Determine Minimum Training Hours: Determine the minimum number of training hours based on the constraints. Since there must be at least 2 meeting hours per month, and for every 2 meeting hours there should be at least 1 training hour, the minimum training hours would be 1 hour if we only consider the 2 meeting hours.Calculate Maximum Training Hours: Calculate the maximum number of training hours. To maximize training hours, we need to minimize meeting hours while still meeting the constraints. Since we need at least 2 meeting hours, let's start with that as the minimum. If we have 2 meeting hours, we can have up to 14 hours remaining for training (16 total hours - 2 meeting hours = 14 training hours) to not exceed the total of 16 hours per month.Check Second Constraint: Check if the maximum training hours meet the second constraint. For every 2 meeting hours, there should be at least 1 training hour. With 2 meeting hours, we are already meeting the minimum requirement for training hours. Therefore, we can allocate the remaining hours to training without violating the second constraint.Calculate Difference: Calculate the difference between the maximum and minimum number of training hours. Maximum training hours = 14 hours Minimum training hours = 1 hour Difference = Maximum training hours - Minimum training hours Difference = 14 hours - 1 hour Difference = 13 hours

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