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09 Jul 2025, 14:34
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Requests received during the week: 810, 790, 830, 823, 780, 795, 820.
Let's sort the daily requests in ascending order:
780, 790, 795, 810, 820, 823, 830
For exactly 4 days to have requests exceeding RT, RT must be a value such that 4 days have requests > RT and 3 days have requests <= RT.
Looking at the sorted list:
Therefore, the possible values for RT are integers from 795 to 809, inclusive.
On the following Monday, the site received 812 requests.
Minimum number of requests not addressed on Monday:
To minimize unaddressed requests, we need to maximize RT.
Maximum possible RT = 809.
Minimum unaddressed requests = 812−809=3
Maximum number of requests not addressed on Monday:
To maximize unaddressed requests, we need to minimize RT.
Minimum possible RT = 795.
Maximum unaddressed requests = 812−795=17
Minimum: 3
Maximum: 17
Let's sort the daily requests in ascending order:
780, 790, 795, 810, 820, 823, 830
For exactly 4 days to have requests exceeding RT, RT must be a value such that 4 days have requests > RT and 3 days have requests <= RT.
Looking at the sorted list:
- If RT is 795, then requests > RT are 810, 820, 823, 830 (4 days). Requests <= RT are 780, 790, 795 (3 days). This fits the condition.
- If RT is 800, requests > RT are 810, 820, 823, 830 (4 days). Requests <= RT are 780, 790, 795 (3 days). This also fits.
- The threshold must be between the 3rd and 4th values in the sorted list. So, 795≤RT<810. (If RT were 810, then only 3 days would have requests > RT).
Therefore, the possible values for RT are integers from 795 to 809, inclusive.
On the following Monday, the site received 812 requests.
Minimum number of requests not addressed on Monday:
To minimize unaddressed requests, we need to maximize RT.
Maximum possible RT = 809.
Minimum unaddressed requests = 812−809=3
Maximum number of requests not addressed on Monday:
To maximize unaddressed requests, we need to minimize RT.
Minimum possible RT = 795.
Maximum unaddressed requests = 812−795=17
Minimum: 3
Maximum: 17
09 Jul 2025, 14:35
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The correct answer for minimum = 3 and maximum = 17
Based on the information that some requests were not handled on 4 of 7 days, that means 4 of the days had numbers that exceeded the threshold. If we put the numbers in order, we can assume the 4 days are the 4 largest numbers of the 7.
That leaves us with the 3 smallest numbers: 780, 790, and 795. The next highest number is 810.
We know that our threshold should lie somewhere between 795 and 810 since the 795 did not trigger any addition unmet requests. We also know the 810 definitely triggered unmet requests but not exactly how many.
To determine the minimum and maximum needed for our answer, we use our minimum and maximum possible threshold and calculate how many possible excess requests could happen between the threshold options and the 812 requests that happened. 795 is our minimum threshold as we know there were no excess requests that day. 810 then triggered "at least 1" excess request so we go with one below (809) as the maximum possible threshold before an excess requests were triggered.
Minimum threshold of 795 -> 812-785 = Maximum of 17 requests
Maximum threshold of 819 -> 812-809 = Minimum of 3 requests
Based on the information that some requests were not handled on 4 of 7 days, that means 4 of the days had numbers that exceeded the threshold. If we put the numbers in order, we can assume the 4 days are the 4 largest numbers of the 7.
That leaves us with the 3 smallest numbers: 780, 790, and 795. The next highest number is 810.
We know that our threshold should lie somewhere between 795 and 810 since the 795 did not trigger any addition unmet requests. We also know the 810 definitely triggered unmet requests but not exactly how many.
To determine the minimum and maximum needed for our answer, we use our minimum and maximum possible threshold and calculate how many possible excess requests could happen between the threshold options and the 812 requests that happened. 795 is our minimum threshold as we know there were no excess requests that day. 810 then triggered "at least 1" excess request so we go with one below (809) as the maximum possible threshold before an excess requests were triggered.
Minimum threshold of 795 -> 812-785 = Maximum of 17 requests
Maximum threshold of 819 -> 812-809 = Minimum of 3 requests
09 Jul 2025, 16:55
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Mon-Sun
810, 790, 830, 823, 780, 795, 820
Next Monday=812
Min and max unaddressed requests to be found
4 out of 7 days had unaddressed requests this gives us RT<810
If it is 809 , min=812-809=3
if it is 795 , max=812-795=17
Min:3, max=17
810, 790, 830, 823, 780, 795, 820
Next Monday=812
Min and max unaddressed requests to be found
4 out of 7 days had unaddressed requests this gives us RT<810
If it is 809 , min=812-809=3
if it is 795 , max=812-795=17
Min:3, max=17
