HOMEWORK PROBLEM: Professor Ghosh is trying to decide how she is going to allocate certain courses among three adjunct professors $($A$,$ B and C$)$ who will be teaching for the IMB department next semester. The projected ratings of the professors for the courses $($on a $1-10$ scale$)$ are given below:

Accounting Logistics Marketing e$-$commerce Marine Insurance

A$86577$ B$75669$ C$77795$

No professor can teach more than two courses. Who should teach what to maximize total ratings? Solve the problem using the Hungarian method.