Consider the LPP, optimize Z=x+5y subject to x+y≥5;2x-5y≥10,x≤2;x≥0,y≥0, then which of the following is correct?

Correct option is D

​$$\begin{aligned}&\text{Given} \\&Z = x + 5y \\&\text{subject to} \\&x + y \geq 5 \\&2x - 5y \geq 10 \\&x \leq 2 \\&x \geq 0,\ y \geq 0 \\&\text{We get} \\&\text{No feasible solution}\end{aligned}$$​​