Best Answer BobbyGo, 17 May 2013 - 07:54 PM

If you're interested, I ran a bit of code to find the answer...

Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account. As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends. Of course, you can also enjoy our collection of amazing optical illusions and cool math games. If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top. If you have a website, we would appreciate a little link to BrainDen. Thanks and enjoy the Den :-) |

Guest Message by DevFuse

Started by BMAD, May 17 2013 02:49 AM

Best Answer BobbyGo, 17 May 2013 - 07:54 PM

If you're interested, I ran a bit of code to find the answer...

Spoiler for

Go to the full post
9 replies to this topic

Posted 17 May 2013 - 02:49 AM

Resource Desk Table Chair Availability

Lumber 8 board ft 6 board ft 1 board ft 48 board ft

Finishing 4 hours 2 hours 1.5 hours 20 hours

Carpentry 2 hours 1.5 hours 0.5 hours 8 hours

Selling Price $60 $30 $20

Given the constraints listed in terms of time and wood available, how many of each object should be produced to maximize revenue?

Posted 17 May 2013 - 03:27 AM

Spoiler for SETUP

You don't need to use all just find the optimal solution

Posted 17 May 2013 - 03:30 AM

Spoiler for SETUPYou don't need to use all just find the optimal solution

That's why I just called it "setup"; I ran it with = instead of <=, and that yielded a clearly nonsensical solution, so I included that note.

Sign up for Coup of Rhotus Mafia!

Posted 17 May 2013 - 03:35 AM

Spoiler for SETUPYou don't need to use all just find the optimal solution

That's why I just called it "setup"; I ran it with = instead of <=, and that yielded a clearly nonsensical solution, so I included that note.

My apologies, sometimes my english isn't the best.

Posted 17 May 2013 - 03:37 AM

Spoiler for SETUPYou don't need to use all just find the optimal solution

That's why I just called it "setup"; I ran it with = instead of <=, and that yielded a clearly nonsensical solution, so I included that note.

My apologies, sometimes my english isn't the best.

No problem, just clarifying that that wasn't an answer, just providing the initial setup

Sign up for Coup of Rhotus Mafia!

Posted 17 May 2013 - 12:17 PM

don't know how to solve 3 variable inequalities but

Spoiler for

Posted 17 May 2013 - 04:33 PM

don't know how to solve 3 variable inequalities but

Spoiler for

Spoiler for Eliminating solution method

EDIT:

Spoiler for more notes, still not solution

**Edited by ShadowAngel7, 17 May 2013 - 04:43 PM.**

Sign up for Coup of Rhotus Mafia!

Posted 17 May 2013 - 07:54 PM Best Answer

If you're interested, I ran a bit of code to find the answer...

Spoiler for

**Edited by BobbyGo, 17 May 2013 - 07:55 PM.**

Posted 17 May 2013 - 11:26 PM

If you wanted to do it manually, i included a screenshot using the direct "enter the basis approach" (utilizing linear algebra)

so where you see the ones in the columns among the zeroes is the 'solutions' Z value is on top that is the maximum revenue, find the x1 score of one then read all the way across to find its quantity, etc. You will notice the extra variables (s1, s2, s3) these variables are the slack variables, that is the extra resources that will be left even in the optimal situation. IN this case s1 (the amount of boards will have leftovers) but the other two constraints will be fully exhausted

**Edited by BMAD, 17 May 2013 - 11:33 PM.**

0 members, 0 guests, 0 anonymous users