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Name _____________________________
Date ___________________

Linear Programming
(Answer ID # 0701470)
Find the minimum and maximum values of the objective quantity.

1.   7x - 5y    -12
8x - 3y    30
3x + 4y    1
x + y    12
f(x,y) = -2x - 11y



2.   2x + y    -10
5x - 8y    -25
5x + 2y    25
12x - 5y    -38
f(x,y) = -11x + 4y



3.   2x - y    -3
6y    -18
2x - 3y    15
2y    -14
f(x,y) = 5x - 3y



4.   7x + y    -19
5x + 6y    -40
4x - 5y    -22
3x - 5y    -24
f(x,y) = -7x - 2y - 16



5.   2x - 5y    37
3x + y    13
x - 5y    15
2x + y    19
f(x,y) = -4x - 10y



6.   12x - 5y    102
2x - y    4
4x + 5y    -6
x + y    17
f(x,y) = -3x - 8y - 20



7.   4x + y    -21
5x - 4y    -21
x - 2y    6
7x + y    -3
f(x,y) = -x + 7y



8.   x + y    10
7x - 10y    2
x + y    -7
15x - 2y    -3
f(x,y) = 12x - 6y



9.   13x - 9y    -61
3x - y    1
7x - 4y    -16
3x - 4y    -16
f(x,y) = 8x + 9y



10.   7x - 3y    49
x - 2y    13
5y    -35
5x - 4y    35
f(x,y) = 10x + 5y



11.   3x - 5y    17
x - 3y    21
5x - y    21
3x + y    -7
f(x,y) = -6x - y - 8



12.   4x - y    -2
4x - 5y    -18
4x + y    -6
x - y    -5
f(x,y) = 9x - 12y




 


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