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 $X_{2}$ ) , 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 binding)
Max: $100 X_{1}+200 X_{2}$
Constraints: $2 X_{1}+5 X_{2} \leq 104 \quad 15 X_{1}+3 X_{2} \leq 90$
Variables are non-negative

A) $[0,1000]$
B) $[-\infty, 1000]$
C) $[80,900]$
D) $[80,1000]$