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DPChallenge Forums >> Tips, Tricks, and Q&A >> Math photographer critiques please....
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03/22/2005 08:38:46 AM · #1
well, here's the thing. i don't actually need your critique on the picture i took, but more over on the logic behind the formulas.

what i needed too do is minimize cost. i took the derivative of each machine's cost function and found it's zeros. since they all yielded a value of +/- i just take the positive number. here is the setup:

i need to print napkins with ensignia's(spelling) on each of them. one logo for the king and one for the queen. i need a cost function for the entire thing so i can minimize cost. i have two machines, an old one and new one. each machine can press 8 plates (napkins) at a time. the plates cost is a one time fee. the machines stamp a certain amount per minute, this doesn't mean it stamps that many napkins a minute, just how many times it comes down to press the plates onto the napkins. in other words, the old machine with all 8 plates would stamp 8*600/min. here is the data:

king:
plate: $100
napkins: 610,000

queen:
plate: $100
napkins: 500,000

old machine:
press: 600 stamps/min
cost: $36/hr

new machine:
press: 800 stamps/min
cost: $42/hr

oh yea, napkins cost: 10cents/piece


since i've been having some trouble with the forum users seeing my images because of hosting issues, it would be nice if someone could throw the pics up on their host as well in case someone can't see it.

Thanks ahead of time for any insight ya math.wizards.

edit----
if you don't know what i'm talking about, i welcome you to critique the photo. :)

Message edited by author 2005-03-22 09:25:27.
03/22/2005 09:07:11 AM · #2
i see there aren't many photographers w/ math backgrounds here. with all the computer programmers, i would have guessed there would be more.
03/22/2005 09:28:25 AM · #3
I dunno what you are actually looking for, the basic costs work out at $0.125/1000 ($138.75 total) with the old machine and $0.109375/1000 ($121.41 total) with the new machine. There is no mention of investment/time restrictions so I don't really understand the need to over complicated maths (unless you enjoy that kinda thing).

edit: Additionally on your workings you refer to 800/600 napkins per min rather than stamps per min, the cost of the napkins is not included but is static at $111,000.00

Message edited by author 2005-03-22 09:36:39.
03/22/2005 09:45:16 AM · #4
nevermind

Message edited by author 2005-03-22 09:46:32.
03/22/2005 12:12:33 PM · #5
the cost of the napkins are 10cents, im not trying to over complicate things. i need to find the minimum cost based on the best combination of plates and machines.
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