Find the minimum value of c=-2x+y subject to the following constraints x≥-5 x≤4 y≥-1 x≤3

The minimum value of C is -9

Step-by-step explanation:

we have

using a graphing tool

The solution is the shaded rectangle

see the attached figure

The vertices of the rectangle are the points

To find the the minimum value of C, substitute the value of x and the value of y of each vertex and calculate the value of C, then compare the results

For

For

For

For

therefore

The minimum value of C is -9

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation: