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09 Jul 2025, 10:07
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Figuring out possible whole number values for RT based on the given 7-day data, then calculating the range of unprocessed requests for the following Monday (812 requests).
Determining RT's possible range
Requests for 7 days (sorted in ascending order):
780, 790, 795, 810, 820, 823, 830
From the problem, "exactly 4 of the 7 days had at least one unaddressed request," meaning exactly 4 days had requests > RT, and the other 3 had requests ≤ RT.
Thus, RT's range:
795 ≤ RT < 809
This way, 780, 790, and 795 all fall within RT's possible range, fitting the scenario.
Next, let's look at the max and min discarded requests for next Monday, 812:
MAX = 812 - 795 = 17
MIN = 812 - 809 = 3
Determining RT's possible range
Requests for 7 days (sorted in ascending order):
780, 790, 795, 810, 820, 823, 830
From the problem, "exactly 4 of the 7 days had at least one unaddressed request," meaning exactly 4 days had requests > RT, and the other 3 had requests ≤ RT.
Thus, RT's range:
795 ≤ RT < 809
This way, 780, 790, and 795 all fall within RT's possible range, fitting the scenario.
Next, let's look at the max and min discarded requests for next Monday, 812:
MAX = 812 - 795 = 17
MIN = 812 - 809 = 3
09 Jul 2025, 10:16
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Bunuel
As Monday to Sunday. We need to find the RT. We know that only 4 day RT is crossed. Hence it is obvious that these 4 days are 830,823,820 & 810. So making the RT < 809. We also know that RT has to be RT>=795, Otherwise 5 days might be crossed,
Using this information if 812 requests came, Min not addressed : 3 and Max not addressed : 812 - 795 = 17.
Hence, IMO Min : 3, Max : 17.
09 Jul 2025, 10:16
Kudos
Bookmarks
Let's arrange the number of requests in ascending order:
780, 790, 795, 810, 820, 823, 830
If exactly 4 of these 7 had unaddressed requests, then that would have to be the 4 largest numbers. Which is 810, 820, 823, and 830
For minimum value of RT: Notice, that if RT is 795, it would approve all requests that are less than or equal to 795 and would keep anything above 795 as unaddressed
For maximum value of RT: We need the largest number after which all 4 numbers have unaddressed requests. That number has to be 809, since all requests (3 of them) were addressed for all values less than or equal to 809, but anything greater had unaddressed requests
With this info, we can calculate the max and min unaddressed requests for the Monday that had a total of 812 requests made:
Minimum = 812 - (Max value of RT) = 812 - 809 = 3
Maximum = 812 - (Min value of RT) = 812 - 795 = 17
Answer:
Minimum = 3
Maximum = 17
780, 790, 795, 810, 820, 823, 830
If exactly 4 of these 7 had unaddressed requests, then that would have to be the 4 largest numbers. Which is 810, 820, 823, and 830
For minimum value of RT: Notice, that if RT is 795, it would approve all requests that are less than or equal to 795 and would keep anything above 795 as unaddressed
For maximum value of RT: We need the largest number after which all 4 numbers have unaddressed requests. That number has to be 809, since all requests (3 of them) were addressed for all values less than or equal to 809, but anything greater had unaddressed requests
With this info, we can calculate the max and min unaddressed requests for the Monday that had a total of 812 requests made:
Minimum = 812 - (Max value of RT) = 812 - 809 = 3
Maximum = 812 - (Min value of RT) = 812 - 795 = 17
Answer:
Minimum = 3
Maximum = 17
