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Name _____________________________
Date ___________________

Linear Programming
(Answer ID # 0580926)
Find the minimum and maximum values of the objective quantity.

1.   x + 3y    0
x - y    0
3x - 7y    16
f(x,y) = -x + 5y



2.   5x - 3y    -12
2y    -2
5x - y    -4
f(x,y) = 10x - 7y + 19



3.   5x - 6y    -8
x + y    -6
8x - 3y    7
f(x,y) = 12x + 6y



4.   4x - 5y    10
4x + 3y    -38
4x - y    2
f(x,y) = -9x - 3y



5.   4x - 5y    -32
5x - 2y    -23
9x - 7y    -38
f(x,y) = -11x + 8y



6.   4x - 5y    9
x + 2y    -27
7x + y    -33
f(x,y) = -4x - 11y



7.   5x - 2y    16
x + 2y    -4
6x    24
f(x,y) = -5x + 9y



8.   2x - y    13
7x - 10y    13
5x + 4y    -13
f(x,y) = -6x - y + 22



9.   3x - 2y    19
x - 5y    15
2x + 3y    -9
f(x,y) = -8x - 10y - 22



10.   3x - 7y    44
6y    -12
3x - y    14
f(x,y) = -7x - 12y



11.   7x + y    19
5x - 2y    0
2x + 3y    0
f(x,y) = -2x + 2y



12.   8x + y    -5
2x - y    5
3x + y    -10
f(x,y) = -3x - 4y




 


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