Omgt2087 Recycling Is An Important And Complex Activity In Country A To Enable Timel 2835787

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. Document Preview:

OMGT2087: Assessment 3 Case 1 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): Recycling Site 1 2 3 4 5 Capacity 10 8 15 11 10 Each recycling site is installed with facilities that have different recycling efficiencies which are summarised in the table below (in percentages): Recycling Site 1 2 3 4 5 Efficiency 35% 42% 39% 75% 60% 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): Recycling Site Sector 1 2 3 4 5 1 27.2 11.2 39.2 59.2 74.4 2 19.2 16.8 66.4 72.8 70.4 3 11.2 23.2 29.6 75.2 68.8 4 20.8 28.8 36.0 65.6 71.2 5 12.0 24.8 16.8 63.2 70.4 6 33.6 39.2 52.0 61.6 48.8 7 38.4 49.6 79.2 49.6 45.6 8 43.2 48.0 41.6 60.8 39.2 9 24.8 32.8 52.8 60.0 57.6 10 25.6 52.0 56.8 48.0 66.4 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): Estimated Recyclable Garbage 1 2 3 4 5 6 7 8 9 10 5 6 8 9 3 4 7 3 4 2It will cost approximately $109,603 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…

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