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Sample edHelper.com - LinearEquations Worksheet

 Name _____________________________ Date ___________________
Linear Programming
Find the minimum and maximum values of the objective quantity.
Only place the answers to ? in the puzzle. You do not need to put the answers to ____ into the puzzle.
 10 4  - 8 7 3 6  - 5 9 1  - 2

down 1.

2x + y    -1
5x - y    -6
3x - 2y    2
f(x,y) = -12x - 6y

 The maximum value of f(x,y) is at point ( ? , ____ )

down 2.

4x - y    24
x + 2y    -12
5x + y    21
f(x,y) = 9x - 4y

 The maximum value of f(x,y) = ?

down 3.

2x - y    -6
x - 3y    7
x + 2y    -3
f(x,y) = -10x - 3y

 The maximum value of f(x,y) = ?

down 4.

x - 4y    19
4x + y    -9
5x - 3y    27
f(x,y) = -4x + 9y - 19

 The minimum value of f(x,y) = ?

down 5.

x - 5y    17
5x - y    13
x - y    9
f(x,y) = -5x - 12y

 The maximum value of f(x,y) is at point ( ? , ____ )

down 6.

2x    2
5x - 4y    -7
3x - 4y    -1
f(x,y) = 8x - 11y - 13

 The minimum value of f(x,y) = ?

down 7.

x - y    -7
2x    -8
5x - 3y    -35
f(x,y) = -6x + 5y

 The minimum value of f(x,y) = ?

across 1.

9x - 7y    45
4x - 5y    20
5x - 2y    8
f(x,y) = 7x - y

 The minimum value of f(x,y) is at point ( ____ , ? )

across 3.

5x + 4y    18
3x - y    21
4x - 7y    -6
f(x,y) = -x - 10y

 The minimum value of f(x,y) is at point ( ____ , ? )

across 6.

x - 3y    15
5x + 4y    -20
7x - 2y    48
f(x,y) = -9x - 11y

 The minimum value of f(x,y) = ?

across 8.

4y    -24
x + 3y    -15
x + y    -7
f(x,y) = -3x - 8y

 The maximum value of f(x,y) = ?

across 9.

2x - y    3
3x + 2y    8
5x + y    18
f(x,y) = 2x - 2y

 The minimum value of f(x,y) is at point ( ? , ____ )

across 10.

x - 2y    -13
5x - 2y    -33
x - y    -6
f(x,y) = -12x + 7y + 23