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

Multiple Choice

Given the following linear programming problem with two non-negative variables $\left(X_{1}\right.$ and $\left.X_{2}\right)$ , find the range of values for the objective function coefficient of $X_{1}$ that will leave the current solution optimal (that is range of optimality or range of insignificance as the case may be) (hint: both constraints are not binding)
Max: $10 X_{1}+200 X_{2}$
Constraints: $2 X_{1}+5 X_{2} \leq 100 \quad 15 X_{1}+3 X_{2} \leq 90$
Variables are non-negative

A) $[-\infty, 1000]$
B) $[-\infty, 80]$
C) $[80, \infty]$
D) $[-\infty, \infty]$