The Morton Ward Company is considering the introduction of a new product that is believed to have a 50-50 chance ofbeing successful. One option is to try out the product in a test market, at an estimated cost of $2 million, before making theintroduction decision. Past experience shows that ultimately successful products are approved in the test market 80percent of the time, whereas ultimately unsuccessful products are approved in the test market only 25 percent of the time. If the product is successful, the net profit to the company will be $40 million; if unsuccessful, the net loss will be $15million. a. Discarding the test market option, develop a decision analysis formulation of the problem by identifying the decisionalternatives, states of nature, and payoff table. Then apply Bayes’ decision rule to determine the optimal decisionalternative-b. Find the expected value of perfect information. A c. Now including the option of trying out the product in a test market, use TreePlan (and the Excel template for posteriorprobabilities) to construct and solve the decision tree for this problem. A d. Find the expected value of sample information. How large can the cost of trying out the product in a test market beand still be worthwhile to do?

Cooper sues company a in state court in south carolina, where he lives, for negligence alleging personal injury and property damage of $100,000 after a truck driven by an employee of company a rear-ended his pickup truck. company a is incorporated in delaware, has its headquarters in new york, but does a substantial amount of business in south carolina. claiming diversity of citizenship, company a seeks removal to federal district court, but cooper opposes the motion. which of the following is true regarding whether the case may be properly removed to federal district court? the amount in controversy satisfies diversity requirements; and if company a's nerve center is in a state other than south carolina, then the case may be properly removed to federal court. the amount in controversy satisfies diversity requirements; and because company a is incorporated and has its headquarters in a state other than south carolina, the case may be properly removed to federal court. because the amount in controversy satisfies diversity requirements and company a is incorporated in a state other than south carolina, the case may be properly removed to federal court regardless of where company a's headquarters, nerve center, or principal place of business is located. because the amount in controversy satisfies diversity requirements and company a is headquartered in a state other than south carolina, the case may be properly removed to federal court regardless of where company a is incorporated and regardless of the location of its nerve center. because the amount in controversy fails to satisfy jurisdictional requirements, regardless of the location of company a, the case may not be removed to federal court.