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Sample edHelper.com - LinearEquations Worksheet

 Name _____________________________ Date ___________________
Linear Programming
Find the minimum and maximum values of the objective quantity.

 1 12x - 5y    884x + y    83x - y    132x + y    22f(x,y) = -4x - 5y
 2 5x - 4y    -30x + 2y    -63x - y    -11f(x,y) = -8x - 6y
 3 3x    6x - y    77x - 6y    482y    -16f(x,y) = 9x - 2y - 14
 4 2x - 5y    -13x + 2y    -117x - 8y    25f(x,y) = -5x - 7y
 5 3x + 2y    7x - y    143x - 8y    47f(x,y) = -11x - 10y
 6 8x    40x - 4y    -46x - 5y    -55x - 7y    32f(x,y) = -x + 12y - 14
 7 x - 7y    292x + y    -2x - y    -1f(x,y) = -6x - y
 8 3x - y    82x + 7y    332x - 3y    3x - 3y    -16f(x,y) = -7x + 4y
 9 2x - y    7x - 4y    -72x - 3y    9x - y    5f(x,y) = -3x - 8y
 10 6x + y    -304x - 5y    -20x + 3y    -22f(x,y) = 2x - 11y
 11 2x - 3y    2x - 7y    12x + 4y    1f(x,y) = 10x + 9y
 12 7y    -143x + 5y    -105x + 2y    318x    40f(x,y) = -12x - 3y + 18

Sample
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