[8 marks] Mr. Yousuf has two job offers in a same company. The condition that there will be a fixed income $1500 per week from manufacturing department but weather can be varied shown in below figure, on the other hand, there will be a moderately good weather (30 C) but variable income from marketing department. The decision tree for this alternative job offers is shown below. Note that Mr. Yousuf values Income rating 70% to income rating and 30% to weather rating. Weather c (probability) 25 (0.50) Income rating Weather rating 70 100 Al-Khaldi manufacturing $1500 35 (0.35) 70 50 55 (0.15) 70 10 Average income per week (prob.) $1800 (0.10) 100 70 Al-Khaldi marketing $1500 (0.75) 70 70 $1200 (0.15) 50 70 (0) (ii) What recommendations should the risk analyst make to Mr. Yousuf if the objective is to maximize expected monetary value (EMV)? Construct individual risk profile for "Manufacturing and Marketing job alternatives. Draw the cumulative risk profiles for both job offers. Assess which alternative is statistically dominant, what type of dominance? (iii) (iv) [8 marks] Mr. Yousuf has two job offers in a same company. The condition that there will be a fixed income $1500 per week from manufacturing department but weather can be varied shown in below figure, on the other hand, there will be a moderately good weather (30 C) but variable income from marketing department. The decision tree for this alternative job offers is shown below. Note that Mr. Yousuf values Income rating 70% to income rating and 30% to weather rating. Weather c (probability) 25 (0.50) Income rating Weather rating 70 100 Al-Khaldi manufacturing $1500 35 (0.35) 70 50 55 (0.15) 70 10 Average income per week (prob.) $1800 (0.10) 100 70 Al-Khaldi marketing $1500 (0.75) 70 70 $1200 (0.15) 50 70 (0) (ii) What recommendations should the risk analyst make to Mr. Yousuf if the objective is to maximize expected monetary value (EMV)? Construct individual risk profile for "Manufacturing and Marketing job alternatives. Draw the cumulative risk profiles for both job offers. Assess which alternative is statistically dominant, what type of dominance? (iii) (iv)