This question belongs to operations research course

Please solve problem 2

1. A farmer in Saudi Arabia would like to select a source of energy for his farm. After a lot of thinking and consultation with some of his colleagues who participated in the sustainable energy master program he reached to the conclusion that the best three criteria to use for selecting such a system are: Sustainability; Reliability (R) and Cost. They narrowed down the alternatives to four energy systems. The energy systems are Solar, Wind (W), Hybrid solar and Diesel (H) and Diesel (D). On scale from 1 to 10 they obtained the scores in the matrix below for each system. Assume the weights for S, R and cost are 0.5, 0.3 and 0.2 respectively. Apply TOPSIS to rank these system from the best to the worst. (20) Cost R 6 S Solar 9 Wind 7 Hybrid Diesel 16 7 2. Given the following pairwise comparison matrix between the criteria in problem 1 find the weights for each criteria. Cost SR 1 7 S 9 (1) (3) Cost Compute the consistency value for the above matrix. Develop the AHP hierarchy for the problem of selecting an energy system stated in problem 1. Use the scores in the matrix in problem 1 and Saaty scale of pairwise comparisons to develop matrices for comparing the alternatives with respect to each criterion. Apply AHP to rank the energy systems inprobleml. (14) (3) (iii) (6) (iv) 1. A farmer in Saudi Arabia would like to select a source of energy for his farm. After a lot of thinking and consultation with some of his colleagues who participated in the sustainable energy master program he reached to the conclusion that the best three criteria to use for selecting such a system are: Sustainability; Reliability (R) and Cost. They narrowed down the alternatives to four energy systems. The energy systems are Solar, Wind (W), Hybrid solar and Diesel (H) and Diesel (D). On scale from 1 to 10 they obtained the scores in the matrix below for each system. Assume the weights for S, R and cost are 0.5, 0.3 and 0.2 respectively. Apply TOPSIS to rank these system from the best to the worst. (20) Cost R 6 S Solar 9 Wind 7 Hybrid Diesel 16 7 2. Given the following pairwise comparison matrix between the criteria in problem 1 find the weights for each criteria. Cost SR 1 7 S 9 (1) (3) Cost Compute the consistency value for the above matrix. Develop the AHP hierarchy for the problem of selecting an energy system stated in problem 1. Use the scores in the matrix in problem 1 and Saaty scale of pairwise comparisons to develop matrices for comparing the alternatives with respect to each criterion. Apply AHP to rank the energy systems inprobleml. (14) (3) (iii) (6) (iv)