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Name _____________________________
Date ___________________

Linear Programming
(Answer ID # 0156732)
Find the minimum and maximum values of the objective quantity.

1.   12x - 5y    88
4x + y    8
3x - y    13
2x + y    22
f(x,y) = -4x - 5y



2.   5x - 4y    -30
x + 2y    -6
3x - y    -11
f(x,y) = -8x - 6y



3.   3x    6
x - y    7
7x - 6y    48
2y    -16
f(x,y) = 9x - 2y - 14



4.   2x - 5y    -1
3x + 2y    -11
7x - 8y    25
f(x,y) = -5x - 7y



5.   3x + 2y    7
x - y    14
3x - 8y    47
f(x,y) = -11x - 10y



6.   8x    40
x - 4y    -4
6x - 5y    -5
5x - 7y    32
f(x,y) = -x + 12y - 14



7.   x - 7y    29
2x + y    -2
x - y    -1
f(x,y) = -6x - y



8.   3x - y    8
2x + 7y    33
2x - 3y    3
x - 3y    -16
f(x,y) = -7x + 4y



9.   2x - y    7
x - 4y    -7
2x - 3y    9
x - y    5
f(x,y) = -3x - 8y



10.   6x + y    -30
4x - 5y    -20
x + 3y    -22
f(x,y) = 2x - 11y



11.   2x - 3y    2
x - 7y    12
x + 4y    1
f(x,y) = 10x + 9y



12.   7y    -14
3x + 5y    -10
5x + 2y    31
8x    40
f(x,y) = -12x - 3y + 18




 


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