Given the Following Linear Programming Problem with Two Non-Negative Variables $\left(X_{1}\right.$

Essay

Given the following linear programming problem with two non-negative variables $\left(X_{1}\right.$ and $\left.X_{2}\right)$ and given the range of feasibility for the RHS and range of values for the objective function coefficients that will leave the current solution optimal, answer the question that follows
Max: $50 X_{1}+75 X_{2}$
Constraints: $2 X_{1}+5 X_{2} \leq 99 \quad 5 X_{1}+4 X_{2} \leq 120$
Variables are non-negative
Range of values of the right hand side values analyzed below:
$48 \leq$ RHS $1 \leq 150$
$79.2 \leq$ RHS $2 \leq 247.5$
Suppose that the RHS1 is changed to 82 and RHS2 is changed to 140 simultaneously. Will the current solution be feasible? (same variables remain as basic variables)