Question: (20 marks) Draw a decision tree that represents the problem you face. Solve using therollback process. Ensure that the expected values of all nodes are

(20 marks)

  1. Draw a decision tree that represents the problem you face. Solve using therollback process. Ensure that the expected values of all nodes are clearly visible inthe decision tree. Make a recommendation based on your findings. In youraccompanying report, clearly explain the approach you took to modellinguncertainty in the problem. Include all of your calculations of consequence valuesandexpected valuesin your report.

(50 marks)

  1. Prepare cumulative risk profiles for the recommended decision strategy, thesecond-best decision strategy, and the third-best decision strategy. Compare andcomment on the risk profiles, indicating whether there is a dominant risk profile.(30 marks)

Table 1: Five-year profits for 53 premium-priced craft beers launched in themarketplace(also provided as an Excel file)

Beer

Five-YearProfit(000)

1

773

2

2492

3

1910

4

1617

5

564

6

103

7

569

8

445

9

2208

10

837

11

1235

12

659

13

580

14

1150

15

622

16

598

17

681

18

987

19

1060

20

558

21

608

22

547

23

422

24

575

25

1491

26

632

27

353

28

282

29

484

30

555

31

646

32

556

33

2549

34

745

35

514

36

934

37

568

38

467

39

536

40

589

41

528

42

1330

43

797

44

711

45

889

46

524

47

1959

48

559

49

1756

50

498

51

563

52

183

53

245

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