Answer this question with respect to Test $4$ Output posted in Canvas. Which of the following statements is true?

Group of answer choices

In the original optimal solution, X$1=40$ and X$2=40.$

If the right hand side of constraint $2$ is changed to $102,$ the new optimal solution value is $408.$ This can be inferred from the dual variable for constraint $2.$

If the right hand side for constraint $2$ is changed to $5$ and the problem is re$-$solved, the new optimal solution value is $-19.$

If the right hand side for constraint $2$ is changed to $5$ and the problem is re$-$solved, the new optimal solution value is $-17.$