Question: 2. (Assignment Problem) We need to assign 4 people to 4 chores at minimum cost. Each person is assigned a single chore. Each person is

2. (Assignment Problem) We need to assign 4 people to 4 chores at minimum cost. Each person is assigned a single chore. Each person is assigned a different chore. The "cost" of assigning each person to each chore is given in the table below. People a. [6 points] Solve the above problem by hand using the Hungarian Algorithm! Show your work! No TORA allowed! What is the optimal assignment, and how much is the total cost? b. [8 points] Suppose that now each person must be assigned two different chores, and that each chore must be done by two different people, while still minimizing total cost. Write out the LP for this problem, then enter it into TORA and solve. Include a TORA screenshot of your optimal solution. What is the optimal job assignment, and what is the total cost

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