You are given an integer program defined as follows:

max,$10x_2+22x_2+5x_3+15x_4+17x_5+12x_6+4$

$s.t$ : $5x_1+3x_2+8x_3+9x_4+16x_5+5x_6+10x_7$

AAi$=1,2,3,x_{i}in\{0,1\}$

AAi$=4,5,6,7,0x_{i}200$

$f$ the following condition is added: $"$if $x_2=1$ is selected, then $x_1=0$

$\text{'}$ which constraint would need to be added to the original problem?

$x_1+x_2=1$

$x_1+x_{2}1$

$x_1+x_{2}2$

$x_1+x_{2}1$