A small consulting firm received six job requests. Each job requires some specific skills that is listed below

Required skill sets for jobs
	Job 1	Job 2	Job 3	Job 4	Job 5	Job 6
Programming	Required			Required
Statistics		Required			Required
Modeling	Required		Required			Required
Excel		Required				Required
Typing			Required	Required	Required

Thisconsulting firm currently has six workers who are available. The skill sets of the workers are given below.

	Skill sets acquired by workers
	Worker 1	Worker 2	Worker 3	Worker 4	Worker 5	Worker 6
Programming	Yes	Yes			Yes
Statistics	Yes	Yes		Yes	Yes	Yes
Modeling	Yes		Yes
Excel	Yes		Yes			Yes
Typing	Yes	Yes	Yes	Yes		Yes

Each job needs only one person and each person can only perform one job. The objective is to have as many as possible jobs done.

Questions:

1. (3 pts) Draw a network model for this problem. You should specify how the nodes and arcs are constructed.
2. (7 pts) Formulate a Linear Programming model for this problem.