edHelper.com - LinearEquations

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Name _____________________________

Date ___________________

Linear Programming
(Answer ID # 0299340)
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.

5 -
8
		4 -	2 -
	3 -				6









				1 -
				7

down 1.

5x + y

-21
3x - 2y

3
2x + 3y

2
x + 8y

-12
f(x,y) = 4x - y

Answer:

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

down 2.

x - y

13
3x - y

25
x + 6y

-8
x - 4y

12
f(x,y) = -8x + 11y

Answer:

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

down 3.

4x - 3y

0
2x - 3y

0
8x - 7y

-10
x - y

-2
f(x,y) = 2x - 5y

Answer:

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

down 4.

3x - 4y

14
4x + y

6
4x - 5y

42
3x + 2y

20
f(x,y) = -3x - 4y + 11

Answer:

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

down 5.

x - y

1
2x - 3y

2
2x

-10
x - y

1
f(x,y) = x - 10y - 23

Answer:

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

down 6.

3x - y

19
5x - y

39
x - y

3
x + y

5
f(x,y) = 10x - 8y

Answer:

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

across 1.

11x - 8y

-18
9x - 4y

-37
x - y

-3
13x - 5y

-48
f(x,y) = -11x - 7y

Answer:

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

across 2.

4x - 3y

12
4y

-24
3x + y

9
2x + y

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

Answer:

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

across 3.

4x + 3y

39
13x + y

13
x + y

1
5x - 6y

-39
f(x,y) = 9x - 9y

Answer:

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

across 7.

2x - y

6
x + 2y

13
7x - 6y

-29
x + y

-6
f(x,y) = -8x - 5y

Answer:

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

across 8.

4x - 5y

29
3x - 11y

87
4x

4
x - 2y

19
f(x,y) = 7x - 6y

Answer:

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

Answer Key

-
8	5
			-		-	9	3
		-	1	1	7					6
		2	1








								-	6
								4	5

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