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January 8th, 2014, 01:54 AM  #1 
Newbie Joined: Jan 2014 Posts: 1 Thanks: 0  various linear equations with various variables..
I work in a asphalt laboratory. mixes are created by adding various types of crushed rock then manually sorting ( very time consuming...) and determining which combinations meet the requirements. the requirements are just target size % windows the crushed rock size is linear http://imgur.com/aqhHoGJ pic make it alot easier to explain. adding the 3 equations i need to meet the targets. ( the actual rock size linear equations are alot longer). i just need an idea of how to figure it out with so many variables? ive tried solving with matrixes in matlab but no luck. any help would be really appreciated thanks 
January 8th, 2014, 02:15 PM  #2 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: various linear equations with various variables..
Where you have "0.3> A< 0.5" you mean "0.3< A< 0.5", don't you? Also your "equations" 1, 2, and 3 are NOT equations and say nothing about what x, y, and z are! You could, for example, replace A, B, and C with the smallest values and get a number times x, y, and z. If you have those actually equal to something, that would give a boundary on x, y, and z. Then replace A, B, and C with their largest values to get the other bound.


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