A Town Council has decided to build a new community center to be used for conventions, concerts, and other public events, but considerable controversy surrounds the appropriate size. Many influential citizens want a large center thatwould be a showcase for the area, but the mayor feels that if demand does not support such a center, the community will lose a large amount of money. To provide structure for the decision process, the council narrowed the buildingalternatives to three sizes: small, medium, and large. Everybody agreed that the critical factor in choosing the best size is the number of people who will want to use the new facility. A regional planning consultant provided demandestimates under three scenarios: worst case, base case, and best case. The worst-case scenario corresponds to a situation in which tourism drops significantly; the base-case scenario corresponds to a situation in which the town continuesto attract visitors at current levels; and the best-case scenario corresponds to a significant increase in tourism. The consultant has provided probability assessments of 0.10, 0.60, and 0.30 for the worst-case, base-case, and best-casescenarios, respectively.The town council suggested using net cash flow over a five-year planning horizon as the criterion for deciding on the best size. A consultant developed the following projections of net cash flow (in thousands of dollars) for a five-yearplanning horizon. All costs, including the consultant's fee, are included.Demand ScenarioCenterSizeWorst Base BestCase CaseCaseSmall420520680Medium-230 670820Large-3806001,010(a) What decision should the town make using the expected value approach?EV(Small)EV(Medium)EV(Large)558,000625,000625,000××The best decision is to build a medium or large-sized ✓community center.(b) Construct risk profiles for the medium and large alternatives (Submit a file with a maximum size of 1 MB.).Choose File No file chosenThis answer has not been graded yet.Given the mayor's concern over the possibility of losing money and the result of part (a), which alternative would you recommend?O small-size centerO medium-size centerO large-size center (c) Compute the expected value of perfect information.EVPI = 122,000Do you think it would be worth trying to obtain additional information concerning which scenario is likely to occur?The town should not consider additional information about the likelihood of the three scenarios.The town should consider additional information about the likelihood of the three scenarios.(d) Suppose the probability of the worst-case scenario increases to 0.2, the probability of the base-case scenario decreases to 0.5, and the probability of the best-case scenario remains at 0.3.EV(Small)0.2EV(Medium) 0.5EV(Large)0.3What effect, if any, would these changes have on the decision recommendation?The best decision is to build a smallcommunity center.(e) The consultant suggested that an expenditure of $150,000 on a promotional campaign over the planning horizon will effectively reduce the probability of the worst-case scenario to zero. The campaign can be expected to alsoincrease the probability of the best-case scenario to 0.4. (Remember to subtract the cost of the promotional campaign from the expected value.)EV(Small)434,000EV(Medium)580,000EV(Large)614,000The best decision is to build a largecommunity center.Compared to the analysis in part (d), is this a good investment?It is a good investment as the risk of loss is eliminated.It is not a good investment as the risk of loss is eliminated.It is not a good investment as the risk of loss is not eliminated.It is a good investment as the risk of loss is not eliminated.

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a. Expected Value = sum( net cahsflow x probability)per Decision CriteriaCenter SizeDemand…