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i struggle a bit with ratio and fraction calculations, so im just looking for some explanation for dummies of this one.

in linear programming, i have a ratio constraint of 6:5, of product A to product B.

The proper way, i believe, to insert this into a linear program is: 5A - 6B >= 0

that is, 5XA - 5XB, must be greater or equal to zero for constraint of 6:5 to be sufficed.

first of all, is this correct? and if so, can someone try to explain to me how this works? , ie how does flipping the ratio (6:5 , A to b, becomes 5xa - 6xb) cancel the other out and equate to zero or great when constraint is met?

a written example with calculation should help me visualize this, just absolutely struggling to get my head around it.

thanks guys! any help is much appreciated.

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Correct Example (value of a =60, b=50) Ratio A:b 6:5 It is looking for value not ratio So it is must reverse Ratio(value) - ratio(value) 5(a) - 6(b) 5.(60) - 6.(50) = 300-300 =0 (60) : (50) simplify Value 6 : 5

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