Mathematically formulate an integer linear programming model

a) Mathematically formulate an integer linear programming model for Dr. Konur’s problem by defining your decision variables, and expressing your objective and objective function, and constraints using your decision variables. Combine everything to get the final formulation.

b) Answer the following questions independent of each other and without solving the problem and explain your reasoning briefly.

a. If Dr. Konur could assign a fractional number of policemen to any shift, would that increase costs? Yes or No or Maybe? Explain your answer briefly.

b. If Dr. Konur had to assign at least 20 policemen to shift 1, would that increase costs? Yes or No or Maybe? Explain your answer briefly.

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