Question: Hi, can anyone help me with this question? Please include both word and excel worksheets. thanks Recycling is an important and complex activity in Country

Hi, can anyone help me with this question? Please

Hi, can anyone help me with this question? Please

Hi, can anyone help me with this question? Please include both word and excel worksheets. thanks

Recycling is an important and complex activity in Country A. To enable timely operations, the country is divided into 10 sectors and recycling operations are commenced simultaneously in each sector. The recyclable garbage is collected from public bins, loaded into trucks, and transported to recycling sites. Each site can accommodate different amounts of recyclable garbage because of its available land size at the facility. The annual capacities for five recycling sites are given in the table below (in megatonnes): 1 2 Recycling Site 3 30 4 5 15 Capacity 20 20 15 Each recycling site is installed with facilities that have different recycling efficiencies which are summarised in the table below (in percentages): 1 2 Recycling Site 3 20% 5 4 60% Efficiency 35% 40% 55% The cost of collecting and transporting recyclable garbage primarily depends on the distance between the sectors and the recycling sites. The following table summarises the distances between each sector and each recycling site (in kilometres): 4 Sector 1 2 3 HNMtwooooo 1 11.9 8.4 4.9 9.1 5.3 14.7 16.8 18.9 10.9 11.2 2 4.9 7.4 10.2 12.6 10.9 17.2 21.7 21.0 14.4 22.8 Recycling Site 3 17.2 29.1 13.0 15.8 7.4 22.8 34.7 18.2 23.1 24.9 25.9 31.9 32.9 28.7 27.7 27.0 21.7 26.6 26.3 21.0 5 32.6 30.8 30.1 31.2 30.8 21.4 20.0 17.2 25.2 29.1 Using historical data, the country estimates the annual volume of the recyclable garbage for each sector in the coming year shown in the table below (in megatonnes): 1 3 Estimated Recyclable Garbage 4 5 6 7 10.4 8.8 3.2 9 8 2 5.5 9 10 6.8 7.8 6.3 4.9 7.5 It will cost approximately $114,879 to move one megatonne of recycling garbage for one kilometre. The management would like to maximise the amount of recycled garbage and minimise the transportation cost. a. Formulate a multiple-objective linear programming (MOLP) model for this problem in a Word file with a brief description of an equation, and implement it in an Excel spreadsheet. b. Determine the optimal value for each objective in the problem. C. Suppose the management considers maximising the amount of recycled garbage to be three times as important as minimising the transportation cost. Formulate a GP model to optimise both objectives simultaneously with a brief description of an equation in a Word file, and implement the MOLP model in an Excel spreadsheet. What do the results suggest? Recycling is an important and complex activity in Country A. To enable timely operations, the country is divided into 10 sectors and recycling operations are commenced simultaneously in each sector. The recyclable garbage is collected from public bins, loaded into trucks, and transported to recycling sites. Each site can accommodate different amounts of recyclable garbage because of its available land size at the facility. The annual capacities for five recycling sites are given in the table below (in megatonnes): 1 2 Recycling Site 3 30 4 5 15 Capacity 20 20 15 Each recycling site is installed with facilities that have different recycling efficiencies which are summarised in the table below (in percentages): 1 2 Recycling Site 3 20% 5 4 60% Efficiency 35% 40% 55% The cost of collecting and transporting recyclable garbage primarily depends on the distance between the sectors and the recycling sites. The following table summarises the distances between each sector and each recycling site (in kilometres): 4 Sector 1 2 3 HNMtwooooo 1 11.9 8.4 4.9 9.1 5.3 14.7 16.8 18.9 10.9 11.2 2 4.9 7.4 10.2 12.6 10.9 17.2 21.7 21.0 14.4 22.8 Recycling Site 3 17.2 29.1 13.0 15.8 7.4 22.8 34.7 18.2 23.1 24.9 25.9 31.9 32.9 28.7 27.7 27.0 21.7 26.6 26.3 21.0 5 32.6 30.8 30.1 31.2 30.8 21.4 20.0 17.2 25.2 29.1 Using historical data, the country estimates the annual volume of the recyclable garbage for each sector in the coming year shown in the table below (in megatonnes): 1 3 Estimated Recyclable Garbage 4 5 6 7 10.4 8.8 3.2 9 8 2 5.5 9 10 6.8 7.8 6.3 4.9 7.5 It will cost approximately $114,879 to move one megatonne of recycling garbage for one kilometre. The management would like to maximise the amount of recycled garbage and minimise the transportation cost. a. Formulate a multiple-objective linear programming (MOLP) model for this problem in a Word file with a brief description of an equation, and implement it in an Excel spreadsheet. b. Determine the optimal value for each objective in the problem. C. Suppose the management considers maximising the amount of recycled garbage to be three times as important as minimising the transportation cost. Formulate a GP model to optimise both objectives simultaneously with a brief description of an equation in a Word file, and implement the MOLP model in an Excel spreadsheet. What do the results suggest

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