I am given following problem, for which I am seeking for advice.
Problem Statement
Suppose you are given a catalogue of dishes with their cost and calories. Can you design an algorithm/model which can generate a menu of item such that items in menu has cost less than certain( say X) dollar and calories (say Y) approx equal to certain value.
X = 800
Y = 20
menu_items = method(calories=Y, cost=X) # Generate a menu under 20$ and approx 800 calories.
Dataset can look like
Item Type Cost Calories
A Bread 1.5 300
B Gravy 6 500
C Bread 1 100
D Salad 5 100
E Dessert 3 400
What I am looking for I am looking for advice that
- what kind of models I can look into to solve this problem, since it is neither classification nor regression nor clusterring.
- If their is any related research paper that you know, i will be more than happy to read that out.
Note: I tried to ask chatGpt the same question Question: Can you generate a menu under 5$ with 800 calories? ChatGPT gave me the menu but since i want to have similar behaviour on my own data-set so I need to comeup with custom model.
Intent - Completionpair, in my case Intent is just couple of variation of one question whereas completion is the combination of items satisfying the constraint. So, not sure how can I pass data-set for this usecase to chatGPT. $\endgroup$PuLP. For the example you posted you could even make use of the 'Solver' add-in for excel, which gave me the solution of selecting two of type E (without knowing if you have any constraints on the maximum number of each item that can be selected). $\endgroup$