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 feasibility for the RHS of constraint 1 (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) $[80,1000]$
B) $[30,150]$
C) $[12,150]$
D) $[12, \infty]$