calculate the expected value of cost at Node 2. Show all your calculations and work full marks (4 marks) c) Formulate the Optimal Decision Strategy for this company write it below. (Hint: the decision strategy should be expressed in a sentence.) ( 2 marks) Question 2-Option A A Manufacturing Company must make a decision regarding the level of sales and dedication to a new product. There are 2 possible decisions to be evaluated, d1 and d2. The potential cost for each decision alternative depends on the raw material's price which may be high or low (economic state). S1 indicates a state of high material prices ( $300K for d1 and $250K for d2), S2 indicates a state of low material prices (\$170K for dl and \$190K for d2). There is also the option to conduct a research study which could either be favorable or unfavorable, with the probabilities of each economic state occurring given a favorable or unfavorable report. The probabilities required for the above are listed below. P(s1)=0.60P(s2)=0.40P(F)=0.65P(U)=0.35P(s1F)=0.20P(s2F)=0.80P(s2U)=0.45P(s1U)=0.55 P(s1U)=0.55P(s2U)=0.45 a) Calculate the expected value of cost at Node 5 . Show all your calculations and work for full marks ( 2 marks)