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A city local government is considering opening a new police station where different units of facilities are provided to the residents of the city.

A city local government is considering opening a new police station where different units of facilities are provided to the residents of the city. Daily usage expectation and cost requirements for each facility is provided in Table 1 below. Table 1 Facility Unit Daily expected usage Cost (RO) (residents/week) Driving License 450 39,000 Traffic Penalties 340 21,000 Vehicle Tax 550 32,000 Resident Card 300 86,000 The city government has allocated a budget of RO 150,000. The objective is to decide which units of the facilities to build in order to maximize daily expected usage. Formulate the above problem as a 0-1 integer model that will help the city government is to decide which units of the facilities to build in order to maximize daily expected usage [4] Let us suppose, if the builder specified one of the following additional conditions, how would you modify the above model to impose each of these conditions? [Write only additional constraints] Since the Driving License and Traffic Penalties units must be built on the same floor, however, only one of these two facilities can be constructed [2] 00 Out of four facility units, only two must be built 121 Out of four facility units, no more than two facility units will be built 121 (W) Ether the Driving License unit or Traffic Penalties unit must be constructed 129 [DO NOT SOLVE THE ABOVE MODEL YOU DEVELOPED IN Question 1(b)

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