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 the 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 objective function coefficients:
$30 \leq \mathrm{C} 1 \leq 93.75$
$40 \leq \mathrm{C} 2 \leq 125$
Suppose that $\mathrm{C} 1$ is changed to 60 and $\mathrm{C} 2$ is changed to 50 simultaneously, will the same solution remain optimal?