binding constraints for this problem are the second and third constraints are binding.Min s$.$t$.$x$,+2$x$2$x$1+$ x$2=3002$x$,+$ x$24002$x$,+5$x$2750($a$)$ Keeping the second objective function coefficient fixed at $2,$ over what range can the first objective function coefficient vary before there is a change in the optimal solution point?The first objective coefficient can from a low of $($No Response$)$to a high of $($No Response$)($b$)$ Keeping the first objective function coefficient fixed at $1,$ over what range can the second objective function coefficient vary before there is a change in the optimal solution point?The second objective coefficient can from a low of $($No Response$)0\mathrm{.}5$to a high of $($No Response$)2\mathrm{.}5($c$)$ If the objective function becomes Min $1\mathrm{.}5$x$,+2$x$2,$ what will be the optimal values of X$,$ and x$,?$x$,=($No Response$)156\mathrm{.}25$x$2=($No Response$)87\mathrm{.}5$What is the value of the objective function at the minimum?$($No Response$)$$ $409\mathrm{.}375($d$)$ If the objective function becomes Min $7$x$,+6$x$,,$ what constraints will be binding? $($Select all that apply.$)$First Constraint$2$ Second ConstraintThird Constraint$($e$)$ What is the dual value for the first constraint in the original problem?$($No Response$)$What is the dual value for the second constraint in the original problem?$($No Response$)$$ $0\mathrm{.}125$What is the dual value for the third constraint in the original problem?$($No Response$)$$ $0\mathrm{.}375$Solution or Explanation$($a$)$ The first objective coefficient can from a low of $0\mathrm{.}8$ to a high of $4.$