Find the system of linear inequalities that corresponds to the system shown102 x9 y57514x+7 y 7-10-510-12 x+2 y-62-5-1014x 7y72x 9y57-12x 2y-62Find all the corner points of the feasible region. (Order your answers from smallest to largest x, then from smallest to largest y.)(x, y)) (smallest x-value)(x, y)(x, y)) (largest x-value)

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Asked Nov 14, 2019
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Find the system of linear inequalities that corresponds to the system shown
10
2 x9 y57
5
14x+7 y 7
-10
-5
10
-12 x+2 y-62
-5
-10
14x 7y
7
2x 9y
57
-12x 2y
-62
Find all the corner points of the feasible region. (Order your answers from smallest to largest x, then from smallest to largest y.)
(x, y)
) (smallest x-value)
(x, y)
(x, y)
) (largest x-value)
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Find the system of linear inequalities that corresponds to the system shown 10 2 x9 y57 5 14x+7 y 7 -10 -5 10 -12 x+2 y-62 -5 -10 14x 7y 7 2x 9y 57 -12x 2y -62 Find all the corner points of the feasible region. (Order your answers from smallest to largest x, then from smallest to largest y.) (x, y) ) (smallest x-value) (x, y) (x, y) ) (largest x-value)

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Expert Answer

Step 1

Given

10
2x+9 y= 57
5
14 x+7y=
10
-10
-5
12 x+2y-62
10
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10 2x+9 y= 57 5 14 x+7y= 10 -10 -5 12 x+2y-62 10

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Step 2

Now

since the feasible region is above the line 14x +7y7
:. corresponding linear inequality is 14x +7y2 7
also since the feasible region is below the line 2x +9y = 57
:. corresponding linear inequality is 2x +9y 57
and the feasible region is to the left of the line -12x 2y62
. corresponding linear inequality is -12x+ 2y 2-62
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since the feasible region is above the line 14x +7y7 :. corresponding linear inequality is 14x +7y2 7 also since the feasible region is below the line 2x +9y = 57 :. corresponding linear inequality is 2x +9y 57 and the feasible region is to the left of the line -12x 2y62 . corresponding linear inequality is -12x+ 2y 2-62

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Step 3

To find the corner points, we solve the two lines whic...

7 ->(1)and 2x +9y 57(2)
Solving 14x 7y
Equation (1)-7x equation (2)
14x+7y-7(2x+9y) = 7-7 (57)
-56y-392
y 7
Now substituting y = 7 in equation(1), we get
14x 7(7) 7
>14x=-42
x-3
one of the comer point is (-3,7)
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7 ->(1)and 2x +9y 57(2) Solving 14x 7y Equation (1)-7x equation (2) 14x+7y-7(2x+9y) = 7-7 (57) -56y-392 y 7 Now substituting y = 7 in equation(1), we get 14x 7(7) 7 >14x=-42 x-3 one of the comer point is (-3,7)

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