A Customer Telephone Center receives 1,200 calls in a 24-hour period. Of these calls, 75% occur between 9:30 a.m. and 3:30 p.m., and calls are evenly distributed during this time. If each person handles 10 calls an hour, how many people are needed to handle calls during these hours?2018515
Question
A Customer Telephone Center receives 1,200 calls in a 24-hour period. Of these calls, 75% occur between 9:30 a.m. and 3:30 p.m., and calls are evenly distributed during this time. If each person handles 10 calls an hour, how many people are needed to handle calls during these hours?2018515
Solution
Step 1: Determine the total number of calls between 9:30 a.m. and 3:30 p.m.
The problem states that 75% of the 1,200 calls occur between these hours. So, we calculate 75% of 1,200:
1,200 * 0.75 = 900 calls
Step 2: Determine the total number of hours between 9:30 a.m. and 3:30 p.m.
This is a six-hour period.
Step 3: Determine the total number of calls handled per hour.
The problem states that each person handles 10 calls an hour.
Step 4: Determine the number of people needed to handle calls during these hours.
We know that there are 900 calls during the six-hour period and each person can handle 10 calls an hour. Therefore, the number of people needed can be found by dividing the total number of calls by the number of calls one person can handle in an hour and then dividing that by the number of hours:
(900 calls / 10 calls per person per hour) / 6 hours = 15 people
So, 15 people are needed to handle calls during these hours.
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