Blood analysis problem

Hi,
I need some help to get this problem in pseudo code and later to develop a program.
The scenario is:
I belong to a clinic of blood analysis and I have a seller that sells me packs of reagents to perform the analysis.
The problem goes like this:
I ask to the seller: "Hey, I need to perform x analysis in y days. How many packs should I buy?"
The seller tells me:"For that you'll need z packs."
Now, let me clarify what is a pack. A pack is some sort of mixture (reagents) which has 2 properties of interest for the problem:
1- One pack can do a analysis
2- One pack has a validity of b days
So, continuing the conversation, let's say the seller tells me that I need 3 packs;
First pack has a validity of 2 days and can perform 5 analysis
Second pack has a validity of 3 days and can perform 10 analysis
Third pack has a validity of 7 days and can perform 23 analysis
(the numbers are fictional)
What I want to do is confirm that the seller is telling me the true.
The solution:
I can create a class, say Pack class
class Pack{
int validity;//in days
int numberOfAnalysis;
}and so, I'll have several objects of Pack corresponding to the info that the seller told me.
I want my program to have 2 input fields(this corresponds to my question to the seller):
1- Number of analysis
2 - Number of days
and this fields are filled by me. The aim of the program is to check if the info that the seller told me is correct or if is the seller selling me more packs than I really need.
I just need some sort of brainstorming to put this problem into code.
Thanks in advance,
Manuel Leiria

Shelf-life is the time that a product is good before you open the pack.
So I imagine that a pack can last, say, six months just sitting on the shelf, but after you open it, it's only good for five days. (for example)
It seems unlikely to me that this kind of medical supply wouldn't have a finite shelf-life.
Sadly, for real world projects, the first half of the development time can be investigating issues like this. It's necessary though.

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