$12\mathrm{.}7-5.$ Consider the IP example discussed in Sec. $12\mathrm{.}5$ and il$-$lustrated in Fig. $12\mathrm{.}2.$ Use the MIP branch$-$and$-$bound algorithm presented in Sec. $12\mathrm{.}7$ to solve this problem interactively.

$12\mathrm{.}7$ Please see two screenshots

FIGURE $12\mathrm{.}2$

An example where rounding an optimal solution for the LP relaxation is far from optimal for the IP problem.

Please solve interactively! Thank you!