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Linear Programming

The following example is a small linear programming problem in two variables x and y.
max 10 x + 15 y   ! Max profit

subject to

! Here are our factory capacity constraints for products x and y

 x ≤ 10
 y ≤ 12

! Here is a constraint on labor availability

x + 2 y ≤ 16


Implicitly it is assumed that x and y are non-negative.

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