Question

Convert into standard form Min Z = x + 2y + 3z Subject to 2x + 3y + 3z >= - 4 3x + 5y + 2z <= 7 X, y >= 0 , z is unrestricted.

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Given:

Min Z = x + 2y + 3z

Subject to

2x + 3y + 3z >= - 4

3x + 5y + 2z <= 7

x, y >= 0 , z is unrestricted.

To Find:

Convert into standard form

Solution:

The given equations need to be converted into standard form, before that we should know that when,

= is there then the only surplus variable(A) is added and no slag variable(s) is added

>= is there then surplus variable (A) is added and slag variable(s) is subtracted

<= the only slag variable(s) is added

Now using the above rule we have,

Min Z=x+2y+3x+0s1+0s2+MA1

subject to,

2x+3y+3z+s1+0s2+A1=-4

3x+5y+2z+0s1+s2+0A1=7

Hence, above are the equations in standard form.