December 13th, 2016, 09:09 PM  #1 
Newbie Joined: Dec 2016 From: United States Posts: 1 Thanks: 0  System of Equations
A company has 4 factories that each produce knee, hip, shoulder, and spinal implants made of titanium. The daily production of each factory for every 10 kg of titanium is: (Factory A; 7 knee, 5 hip, 3 shoulder, 4 spinal), (Factory B; 1 knee, 5 hip, 22 shoulder, 4 spinal), (Factory C; 8 knee, 1 hip, 9 shoulder, 1 spinal), (Factory D; 7 knee, 2 hip, 8 shoulder, 2 spinal). Suppose the company can only purchase titanium in 10 kg units. What is the system of equations that describes the daily production of each factory? I initially came up with the system of equations as: 7k+5h+3sh+4s=10; 1k+5h+22sh+4s=10; 8k+1h+9sh+1s=10; 7k+2h+8sh+2s=10; I was told this is not the correct system of equations, and that I should think in terms of input/output. Maybe they should be equated to separate variables instead of using 10? Im kind of stuck here. Thanks in advance. 
December 14th, 2016, 06:04 AM  #2 
Math Team Joined: Jan 2015 From: Alabama Posts: 2,410 Thanks: 612 
I can see no reason why those should be equal to 10. You are told those are the number of implants each factory can make per 10 kg of titanium, not that they added to 10 kg. Also the problem said the company can only purchase titanium in 10kg units, not that it can only purchase 10 kg and not 10kg for each factory.


Tags 
equations, linear, linear algebra, system 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
To find a system of coordinates for visualise a system of equations  Jhenrique  Geometry  1  August 29th, 2015 06:33 AM 
System of Equations  gabemreis  Algebra  2  February 8th, 2015 04:26 PM 
System of Equations help  Regnes  Algebra  2  July 19th, 2014 10:33 PM 
A system of equations  Dacu  Number Theory  18  July 3rd, 2013 09:18 AM 
The system of equations (64 equations 12 unknown) solution  ZeusTheMunja  Linear Algebra  20  January 25th, 2013 06:52 AM 