Consider the police allocation problem for Fargo, North Dakota (problem 19). Suppose that two additional officers are available for assignment to one of the three activities:
a. If you were to consider all possible assignments by direct enumeration, how many combinations would have to be considered? How many combinations would there be if there were also one additional activity? two additional activities?
b. Solve the five-officer, three-activity problem using the assignment approach to the model.
c. Suppose Officer Clark could perform two of the activities. Give the linear programming formulation for this problem and solve using a linear programming module.
d. Develop an assignment matrix for the problem in part c and solve.
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