02) It has been reported that 4800 koalas are found 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 buy new fire trucks based on the 2020 death reports. The entire duty of these trucks are to save koalas during fires. Due to legislative limitations, a purchased truck can only serve to adjacent regions but cannot serve to its purchased region. For example; if a truck is purchased in Western Australia, it cannot serve to Westem Australia or Victoria but can serve to Northern Territory or South Australia. To achieve this, government has purchased 3 fire trucks to Western Australia, 3 to Northern Territory, 3 to South Australia, 4 to Queensland, 4 to New South Wales & ACT, and 4 trucks to Victoria. If a fire truck is allocated to a region, it can save all koalas in that region and the government expects to save all koalas. Therefore, you realize that having this much of fire trucks is unnecessary. However, you opt to go along with this policy as you think that there might be a use of these unnecessary trucks in the future. It comes at a price, keeping a truck for a year costs $1331. a) Formulate a balanced transportation tableau that maximizes the number of koalas saved. b) Find a solution using minumum-cost method. c) is the solution you find in part (b) optimal? d) Which cells should you change in the tableau and how so that fire trucks must serve its own region first? 1160 980 930 Northern Territory Queensland Western Australia 770 South Australia New South Wales & ACT 870 90 Victoria 02) It has been reported that 4800 koalas are found 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 buy new fire trucks based on the 2020 death reports. The entire duty of these trucks are to save koalas during fires. Due to legislative limitations, a purchased truck can only serve to adjacent regions but cannot serve to its purchased region. For example; if a truck is purchased in Western Australia, it cannot serve to Westem Australia or Victoria but can serve to Northern Territory or South Australia. To achieve this, government has purchased 3 fire trucks to Western Australia, 3 to Northern Territory, 3 to South Australia, 4 to Queensland, 4 to New South Wales & ACT, and 4 trucks to Victoria. If a fire truck is allocated to a region, it can save all koalas in that region and the government expects to save all koalas. Therefore, you realize that having this much of fire trucks is unnecessary. However, you opt to go along with this policy as you think that there might be a use of these unnecessary trucks in the future. It comes at a price, keeping a truck for a year costs $1331. a) Formulate a balanced transportation tableau that maximizes the number of koalas saved. b) Find a solution using minumum-cost method. c) is the solution you find in part (b) optimal? d) Which cells should you change in the tableau and how so that fire trucks must serve its own region first? 1160 980 930 Northern Territory Queensland Western Australia 770 South Australia New South Wales & ACT 870 90 Victoria