Question 1 A new Ph.D. has job offers from six different universities and is faced with the problem of choosing a school within 1 week. The individual lists, in the form of a payoff matrix, all of the important information: 5 6 $52,000 $50,000 6 11 School 2 3 4 Criteria 1. 9-month salary $54,000 $53,000 $56,000 $57,500 2. Average teaching load 9 8 10 12 hour/semester 3. Geographic location 2 3 5 2 4. Expected summer salary $7,200 $6,900 $3,900 $8,250 5. Research support 4 4 3 1 6. Number of different 3 2 4 5 preparations/year a Scaled - where larger numbers represent more desirable outcomes. 4 $9,000 5 1 $4,500 2 2 3 Acting as the new Ph.D., determine criteria weights and ranking of the schools using (a) Rating Method when the ratings given below are adopted. (10 points) Criteria 1. 9-month salary 2. Average teaching load hour/semester 3. Geographic location 4. Expected summer salary 5. Research support 6. Number of different preparations/year ratings in 0-10 scale 9 7 6 7 6 5 (b) Borda Count when the following pair wise comparison of criteria is adopted (10 points) Criteria are numbered from 1 to 6 for convenience 1>2, 1>3, 1>4, 1>5, 1>6 2>3, 2=4, 2>5,276 36 4>5, 4>6 5>6 HINT 1: You will be maximizing criteria 1, 3, 4, 5 and minimizing criteria 2, 6 HINT 2: Scale all the criteria values by the Ideal Value method Question 1 A new Ph.D. has job offers from six different universities and is faced with the problem of choosing a school within 1 week. The individual lists, in the form of a payoff matrix, all of the important information: 5 6 $52,000 $50,000 6 11 School 2 3 4 Criteria 1. 9-month salary $54,000 $53,000 $56,000 $57,500 2. Average teaching load 9 8 10 12 hour/semester 3. Geographic location 2 3 5 2 4. Expected summer salary $7,200 $6,900 $3,900 $8,250 5. Research support 4 4 3 1 6. Number of different 3 2 4 5 preparations/year a Scaled - where larger numbers represent more desirable outcomes. 4 $9,000 5 1 $4,500 2 2 3 Acting as the new Ph.D., determine criteria weights and ranking of the schools using (a) Rating Method when the ratings given below are adopted. (10 points) Criteria 1. 9-month salary 2. Average teaching load hour/semester 3. Geographic location 4. Expected summer salary 5. Research support 6. Number of different preparations/year ratings in 0-10 scale 9 7 6 7 6 5 (b) Borda Count when the following pair wise comparison of criteria is adopted (10 points) Criteria are numbered from 1 to 6 for convenience 1>2, 1>3, 1>4, 1>5, 1>6 2>3, 2=4, 2>5,276 36 4>5, 4>6 5>6 HINT 1: You will be maximizing criteria 1, 3, 4, 5 and minimizing criteria 2, 6 HINT 2: Scale all the criteria values by the Ideal Value method