My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
February 24th, 2012, 09:27 AM   #1
Newbie
 
Joined: Feb 2012

Posts: 1
Thanks: 0

Scaling payouts over time

This isn't for homework or school so help anyone else who may need it first. I'm an English major (don't kick me out!) so I need some help. This didn't strike me as a college-level problem so I posted it here.

Problem: There are multiple properties you can build. You can build an infinite amount of each one, constrained only by how much money you have. Each building pays out X amount (varying) every Y unit (varying) of time. Nominal amounts of money to be invested can be earned other ways (unrelated). Base cost of each building increases with each building of the same type.

Goal: Make as much profit as possible in an unlimited time frame.

Data Format:
==Format is as follows: base cost - amount of base cost increase per additional - payout/payout time==
example:
Z) 5000 - 500 - 250/3 hours
Building Z costs $5000 to build the first one, the cost increases by $500 each ($5000 first, $5500 second, $6000 third, etc.), it pays $250 every three hours. The third building Z would cost $6000 and pay out $750 every 3 hours. Note that the buildings stack, so rather than three building Zs each paying out every 3 hours, owning three gives you one building Z that pays out $750 every 3 hours.

Data:
A) 1000 - 100 - 195/15 minutes
B) 5000 - 500 - 260/20 minutes
C) 60,000 - 6000 - 2600/2 hours
D) 85,000 - 8500 - 3250/2 hours
E) 400,000 - 40,000 - 7150/3 hours
F) 2,000,000 - 200,000 - 65,000/5 hours
G) 3,000,000 - 300,000 - 13,000/1 hour (seems out of place, but not a typo)
H) 5,000,000 - 500,000 - 325,000/12 hours
I) 20,000,000 - 2,000,000 - 650,000/8 hours
J) 30,000,000 - 3,000,000 - 780,000/9 hours
K) 40,000,000 - 4,000,000 - 1,040,000/10 hours
L) 100,000,000 - 10,000,000 - 1,300,000/16 hours

Question: How many of each build should be owned before justifying the purchase of a different type? At what quantity is a building no longer efficient to build? Are there buildings that should never be purchased? ex: 50 of A, then 50 of B, skip C, 35 of D (after 50 B), build 50 more of A, etc.

I know this is a ridiculously long problem (at least in my eyes) with a lot of stuff to grasp. I've run into problems like this before but don't know how to solve them. If asked on many other forums before this one but no one is willing to help out, so hopefully one of you on a caffeine high with some time to spend can shed some light for me.

-E
engel556 is offline  
 
February 24th, 2012, 12:17 PM   #2
Math Team
 
Joined: Oct 2011
From: Ottawa Ontario, Canada

Posts: 13,593
Thanks: 953

Re: Scaling payouts over time

Quote:
Originally Posted by engel556
Goal: Make as much profit as possible in an unlimited time frame.

Z) 5000 - 500 - 250/3 hours
Building Z costs $5000 to build the first one, the cost increases by $500 each ($5000 first, $5500 second, $6000 third, etc.), it pays $250 every three hours. The third building Z would cost $6000 and pay out $750 every 3 hours. Note that the buildings stack, so rather than three building Zs each paying out every 3 hours, owning three gives you one building Z that pays out $750 every 3 hours.
OK; after 3 buildings, 5000+5500+6000 = 16,500 has been invested: revenue = 750 ; 750 / 16500 = .045 or 4.5%

Instead of 2 add'l buildings, let's make it 10 add'l: last one = 10,000; total invested = 82,500;
11 @ 250 = 2750 ; 82500/2750 = .03333... or 3 1/3 %

So if "benchmark" is say 3%, then it's about time to get out of the "Z business"!

Is that what you mean?

How "realistic" is the list you're showing? Like: A) 1000 - 100 - 195/15 minutes.
You spend $1000 and get it back within about 75 minutes? Ridiculous.
Why does your data list show revenues differently; why ain't them all (as example) "per day"?
Denis is offline  
Reply

  My Math Forum > High School Math Forum > Algebra

Tags
payouts, scaling, time



Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Help with Gambling Payouts...(%'s) thefirecrack3r Algebra 2 August 2nd, 2013 04:44 AM
Eigenvectors under scaling onako Linear Algebra 3 February 4th, 2011 11:38 AM
Scaling problems MathIsntFun Algebra 4 April 15th, 2010 03:38 AM
Problem in scaling. velvet_ghost Algebra 4 June 10th, 2009 05:58 AM
help with scaling cdell1234 Algebra 2 February 4th, 2009 12:11 PM





Copyright © 2018 My Math Forum. All rights reserved.