This output describes a two variable linear program, solved in Excel to optimality. The output shown

below is the final output, after the problem has been fully solved. The problem has $2$ variables, three

$($non$-$trivial$)$ constraints and two non$-$negativity constraints. The second part of the output describes

the sensitivity analysis for this problem. The objective is of a MAXIMIZATION type $(=$MAX $7$X$1+10$X$2).$ Which of the following statements is true?

Group of answer choices

If the RHS of constraint $1$ is increased by $1$ to $51$ and the problem resolved, the new optimal solution value is the same; it does not change at all.

If the RHS of constraint $1$ is increased by $1,$ the new optimal solution value is $162500.$

If the RHS of constraint $2$ is increased by $1,$ the new optimal value is $162500$

None of the right hand sides can ever be changed for this problem.