Please answer in the same format and make it clear what goes where

Problem 13-03 (Algorithmic) Southland Corporation’s decision to produce a new line of recreational products resulted in the need to construct either a small plant or a large plant. The best selection of plant size depends on how the marketplace reacts to the new product line. To conduct an analysis, marketing management has decided to view the possible long-run demand as low, medium, or high. The following payoff table shows the projected proft in millions of dollars: Long-Run Demand Plant Size Low Medium High Small 200 240 260 Large 50 220 450 a. What is the decision to be made, and what is the chance event for Southland’s problem? The decision to be made is the plant size and the chance event is the long-run demand. b. Choose the correct influence diagram for this problem. (0) (II) Plant Size Marked Demand Plant Size Markey Demand Protiv Profit (iii) (iv) Profit Market Demand Market Demand Profit Plant Plant Sizy Diagram (ii) c. Choose the correct decision tree for this problem. (1) (ii) 200 Low 200 240 Medium 50 Low Small Small Low 240 Medium 260 High Medium 220 Large 260 230 Medium I High Large Low So 450 High High (II (iv) 200 Small Low 50 200 Large Low oo 240 Small Small Medium 240 Medium 260 High 50 Low 320 Large 260 Small Large 220 Medium 450 High High 450 Large d. Recommend a decision based on the use of the optimistic, conservative, and minimax regret approaches. Optimistic approach Conservative approach Minimax regret approach