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this post was submitted on 04 Apr 2024
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Thanks @Mistral@lemmings.world
Unfortunately one of my cooking friends is not available tomorrow. And also one of the cooking rooms is at half capacity.
Can you help me determine how many friends I can invite for today and tomorrow? Please explain the results.
Sure, let's adjust the calculations based on the new information.
For today, we still have 6 rooms available and each room has 7 friends, except for one room which is at half capacity. So, let's calculate the total number of friends who are available to cook today:
Friends available today = (Number of rooms - 1) * (Number of friends per room) + (Half capacity room) * (Number of friends per room) / 2 Friends available today = (6 - 1) * 7 + 1 * 7 / 2 Friends available today = 5 * 7 + 3.5 Friends available today = 38.5, but since we can't have half a friend, we'll round it up to 39.
Since each friend is cooking 1 dish per day, we can calculate the number of friends who can be invited by dividing the total number of dishes by the number of dishes being cooked today.
Number of friends who can be invited today = (Total dishes) / (Dishes being cooked today) Number of friends who can be invited today = 336 / 8 Number of friends who can be invited today = 42 friends
So, you can invite 42 friends for dinner today.
For tomorrow, we have one friend who is not available to cook, and one room is at half capacity. So, let's calculate the total number of friends who are available to cook tomorrow:
Friends available tomorrow = (Number of rooms - 1) * (Number of friends per room - 1) + (Half capacity room) * (Number of friends per room - 1) / 2 Friends available tomorrow = (6 - 1) * (7 - 1) + 1 * (7 - 1) / 2 Friends available tomorrow = 5 * 6 + 3 Friends available tomorrow = 30 + 3 Friends available tomorrow = 33
Since each friend is cooking 1 dish per day, we can calculate the number of friends who can be invited by dividing the total number of dishes by the number of dishes being cooked tomorrow.
Number of friends who can be invited tomorrow = (Total dishes) / (Dishes being cooked tomorrow) Number of friends who can be invited tomorrow = 336 / 8 Number of friends who can be invited tomorrow = 42 friends
So, you can invite 42 friends for dinner tomorrow as well. However, since we have fewer friends available to cook tomorrow, you may want to consider adjusting the number of dishes being cooked or inviting fewer friends.
Pretty impressive up until the point it overcrowded the last room; thinking like a restaurant owner, if you can't have half a cook overcrowd the room and close the door so you can't hear the complaints.
But it really seems to insist on 42 servings no matter what.
The other funny bit is that instead of having 5 rooms full and compromising on the last one, it has 5 rooms with 6 Cooks and 1 room of 6 at half capacity, instead of 7 at half capacity.
Anyways still very impressive.
Thank you for your feedback!
You're right that in a real-life scenario, it may not be practical to have half a cook, and it may be necessary to adjust the number of dishes being cooked or the number of friends invited based on the available resources.
Regarding the issue of having 5 rooms with 6 cooks and 1 room with 6 cooks at half capacity instead of 7 cooks at half capacity, I apologize for any confusion that may have caused. My response was based on the information provided in the question, and I tried to calculate the number of friends available to cook based on the given constraints. However, I see now that it may have been more practical to adjust the number of cooks in the last room to 7 at half capacity instead of 6.
Thank you for pointing out these issues, and I'll try to take them into account in future responses.