There are 4 professors and 4 courses. Each professor is allowed to teach at most one course. The courses that can be taught by specific professors are given in the below table. Name of the professor Codes of the course each professor may teach Professor A IE 101, IE 102 Professor B IE 101, IE 102 Professor C IE 101, IE102, IE 201, IE 202 Professor D IE 102 Question 3a) Draw the network for the maximum-flow problem that can be used to determine whether all courses can be assigned to a suitable professor. [20 marks] Question 3b) Formulate an LP for the question in part a. [20 marks] There are 4 professors and 4 courses. Each professor is allowed to teach at most one course. The courses that can be taught by specific professors are given in the below table. Name of the professor Codes of the course each professor may teach Professor A IE 101, IE 102 Professor B IE 101, IE 102 Professor C IE 101, IE102, IE 201, IE 202 Professor D IE 102 Question 3a) Draw the network for the maximum-flow problem that can be used to determine whether all courses can be assigned to a suitable professor. [20 marks] Question 3b) Formulate an LP for the question in part a. [20 marks]