Chatgpt says it's impossible to calculate without specialised software running algorythms.The problem is this:>you have a storage space that is 1360x243x240cm>there is a product that is 5x8x4cm>the products must be packaged, one package must have 60 products>these products can be rotated or stacked in any way to make up a packageWhat is the optimal way to make a package if the goal is to fit as many packages into storage as possible?Chatgpt can only give a practical answer that closely approximates the perfect stack.If i'm not totally retarded there should be exactly 216000 ways to make a package, so how do we find the very best one?
This class of problems is called "packing problems"your case is more specifically "packing cuboids in a cuboid" (with an inbetween step)it's notoriously hard to prove that a given arrangement is optimal (except in very good arrangements) so you will most likely just have to settle with "it's better than everything else I could find">exactly 216000 ways>60**3it's a lot more. that's just the number of orientations (assume none are off-angle). there are also all the *arrangements* of those products within the package to consider
>>1521863So how many possibilities are there even? 60^3 is only the orientations, but you're right you can also arrange them in a lot of ways since nothing says they need to make a rectangle.Thx for the amswer btw.
>>1521827This one’s actually extremely easy, just make a tube, 60x4cm long and put them in that
>>1521827Do the packages have a uniform shape or can they all be different?
>>1522196Packages are uniform
>>1522216Okay so8262 packages fit in the thing, hypotheticallyAre the packages cubic, as in, do they have a shape describable by height x weight x depth? Or can they e.g. be L-shaped?What stands out about the storage dimensions is that 243 can't be divided by any of the dimensions of the product.But your faggot teacher should probably just email the textbook's author lol
>>1522223The shape should be describeable by heightxweightxdepth yes.The trick of the assignment was that you would waste your time with this, which I now know is a humanly impossible calculation when you can't pack nearly as much by weight.
>>1522236243 is an interesting number, 3^5.And that the product has one uneven dimension, and the other two scaled 1:2 is interesting too.What does weight have to do with anything?
