It has been reported that 4800 koalas are dead in 2020 bushfires of Australia. The regional distribution of the koala death reports is given in the Figure below. The government has decided to allocate some of their 2021 budget to save the koalas. For this reason, they have decided to build 2 new fire stations based on the 2020 death reports. The entire duty of these stations is to save koalas during fires. Due to large distances between regions, a built fire station can only serve on its built region and one of the adjacent regions. (For example; if a station is built in Western Australia, it can serve to 'Northern Territory' but not to 'Queensland'.) Also, same region cannot be covered by more than 1 fire station. Assuming that 2020 reports are the common death pattern which is expected to be the same in 2021, a) Formulate an IP to maximize the number of koalas to be saved in 2021. b) The government has requested from you to satisfy the following restrictions along with the above model: Restriction 1: A fire station must be built to cover either 'Victoria' and 'New South Wales & ACT' or 'Western Australia' and 'South Australia'. Restriction 2: Either 'Western Australia' or 'Victoria' must be within the reach of a fire station. Notes: -Use f(x) & g(x) functions and find the value of M when necessary to receive credits. -At the end of your calculations, show each restriction in a single constraint when necessary. -Both cases can happen in Either-or constraints if it is not limited by the problem. - Formulate your model in an open form and while formulating it, give index (or indices), decision variable (s) and parameter (s), explicitly to receive credits. 1160 980 930 Northern Territory Queensland Western Australia 770 South Australia New South Wales & ACT 870 Victoria It has been reported that 4800 koalas are dead in 2020 bushfires of Australia. The regional distribution of the koala death reports is given in the Figure below. The government has decided to allocate some of their 2021 budget to save the koalas. For this reason, they have decided to build 2 new fire stations based on the 2020 death reports. The entire duty of these stations is to save koalas during fires. Due to large distances between regions, a built fire station can only serve on its built region and one of the adjacent regions. (For example; if a station is built in Western Australia, it can serve to 'Northern Territory' but not to 'Queensland'.) Also, same region cannot be covered by more than 1 fire station. Assuming that 2020 reports are the common death pattern which is expected to be the same in 2021, a) Formulate an IP to maximize the number of koalas to be saved in 2021. b) The government has requested from you to satisfy the following restrictions along with the above model: Restriction 1: A fire station must be built to cover either 'Victoria' and 'New South Wales & ACT' or 'Western Australia' and 'South Australia'. Restriction 2: Either 'Western Australia' or 'Victoria' must be within the reach of a fire station. Notes: -Use f(x) & g(x) functions and find the value of M when necessary to receive credits. -At the end of your calculations, show each restriction in a single constraint when necessary. -Both cases can happen in Either-or constraints if it is not limited by the problem. - Formulate your model in an open form and while formulating it, give index (or indices), decision variable (s) and parameter (s), explicitly to receive credits. 1160 980 930 Northern Territory Queensland Western Australia 770 South Australia New South Wales & ACT 870 Victoria