$7.(10$ points$)$ Suppose that there are three employees in the computer support group of the School of Engineering of a large university. Each employee will be assigned to support one of four different areas: hardware, software, networking, and wireless. Suppose that Ping is qualified to support hardware, networking, and wireless; Quiggley is qualified to support software and networking; Ruiz is qualified to support networking and wireless.

$$ Use a bipartite graph to model the four employees and their qualifications.

$$ Recount Hall$$s theorem for this graph, and tell us if this graph satisfies it$$s conditions.

$$ If an assignment of employees to support areas so that each employee is assigned to one support area exists, find one.