Question 1 A new Ph.D. has job offers om six different universities and is faced with he problem of choosing a school within 1 week. The individual lists, in the form of a payoff matrix, all of the important information: Schnol l 2 3 4 5 6 Criteria 1. 9-month salary $54,000 $53,000 $56,000 $57,500 $52,000 $50,000 2. Average teaching load 9 8 10 12 6 11 hourfsemester 3. Geographic location3 2 3 5 2 4 1 4. Expected summer salary $7,200 $6,900 $3,900 $8,250 $9,000 $4,500 5. Research support\" 4 4 3 1 5 2 6. Number of different 3 2 4 5 2 3 preparations/year \" Scaled 7 where larger numbers represen more desirable outcomes. 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 ratings in 0-10 scale 1. 9-month salary 9 2. Average teaching load hour/semester 3. Geographic location 4. Expected summer salary 5. Research support 6. Number of different preparations/year U'IO'xKJO'xKJ (b) Borda Count when the following pair wise comparison of criteria is adopted (10 points) Criteria are numbered from 1 to 6 for convenience l>2, l>3, 1>4, l>5, l>6 2>3, 2:4, 2>5, 2>6 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 2 (10 points) Suppose you are planning to use single sourcing and have narrowed down the choices to four suppliers A, B, C, and D. Your criteria for selection are Price, Company Size (measured using market capitalization in millions of dollars), and Quality (measured on a scale of 1 7 100, where 100 indicates awless quality), The relevant data is shown in table below: Price (in 25) Size (in millions of $) Quality A $180,000 2800 75 B $160,000 3200 85 C $140,000 2600 80 D $190,000 3600 65 a) Scale the data using ideal value method 13) Use the Leo metric to rank the four suppliers