Consider
the following optimization linear program:
ext{max} 2x_{1}+x_{2}+4x_{3}
5x_{1}+3x_{2}+x_{3} \geq 450 7x_{1}+5x_{2}+2x_{3} \geq 350 3x_{1}+2x_{2}+x_{3} \leq 400 x_{1},x_{2},x_{3} \geq 0 Given the following information about the
optimal solution of this problem, as a maximization problem , where e_{1}, e_{2}, h_{3} are the slack/excess variables of the first, second and
third constraint respectively:

Select the correct answer:

Question

Consider
the following optimization linear program: 
   	ext{max} 2x_{1}+x_{2}+4x_{3}  
   5x_{1}+3x_{2}+x_{3} \geq 450     7x_{1}+5x_{2}+2x_{3} \geq 350    3x_{1}+2x_{2}+x_{3} \leq 400    x_{1},x_{2},x_{3} \geq 0  Given the following information about the
optimal solution of this problem,  as a maximization problem , where    e_{1}, e_{2}, h_{3}   are the  slack/excess variables of the first, second and
third constraint respectively: 
  
 Select the correct answer:

Answer

If we increase the right-hand-side value of the
second constraint in one unit (from 350 to 351) the objective function
decreases in two units.

Answer

None of the other options are correct.

Answer

If we increase the right-hand-side value of the
first constraint in one unit (from 450 to 451) the objective function increases
in ten units.

Answer

If we increase the right-hand-side value of the
third constraint in one unit (from 400 to 401) the objective function increases
in nine units.

Crowdly

Consider the following optimization linear program: \text{max} 2x_{1}+x_{2}+...

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