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which of the following is a valid objective function for a linear programming problem
Max 5xy
Min 4x+3y+(2/3)z
Min (x1+x2)/x3


Sagot :

The objective function of a linear programming problem is a linear function.

A valid objective function is (b) Min 4x+3y+(2/3)z

The form of the objective function of a linear programming problem is:

[tex]\mathbf{ax + by + cz +.....}[/tex]

The above function means that:

  • The objective function cannot contain the product of the variables
  • The objective function cannot contain the quotient of the variables

The above highlights mean that:

  • The objective function can contain the sum of the variables
  • The objective function can contain the difference of the variables

Hence, the valid objective function is (b) Min 4x+3y+(2/3)z

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