A gym membership charges their current members a monthly fee on the 1" of the month. Monthly churn rate (the probability of a member ending their membership) is 4%. Profit from the monthly membership fee is $10 per member; and the recruitment cost (advertising and promotions) for a new member are $200. What is the per member expected profit to the gym?
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- A plaintiff believes that there is a 30% chance that he will winIf he wins, he will gain $50,000. It costs him $5000 in non‐recoverable litigation costs to take the case to court. If the plaintiff is risk‐neutral, which of the following is true? A) The plaintiff will take the case to court with an expected net‐gain of $10,000 B) The plaintiff will take the case to court with an expected net‐gain of $15,000 C) The plaintiff will not take the case to court because he is afraid of losing. D) None of the aboveYou’re the manager of global opportunities for a U.S. Manufacturer, who is considering expanding sales into Asia. Your market research has identified the market potential in Malaysia, Philippines, and Singapore as described next: Success Level Malaysia Philippines Singapore Probability Units Probability Units Probability Units Big 0.3 1,200,000 0.3 1,000,000 0.7 700,000 Mediocre 0.3 600,000 0.5 320,000 0.2 400,000 Failure 0.4 0 0.2 0 0.1 0 The product sells for $10 and has unit costs of $8. If you can enter only one market, and the cost of entering the market (regardless of…Prospect X = ($4, 0.04 ; $15, 0.05 ; $24, 0.01 ; $38, p) What is the expected value of prospect X? (Hint 1: To answer this question, you'll need to first determine the value of "p"). (Hint 2: To determine "p", remember that probabilities sum to 1). (Note: The answer may not be a whole number; please round to the nearest hundredth) (Note: The numbers may change between questions, so read carefully)
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- Mr Phiri has K10,000 in his account. He is considering investing in a project which has 70 % probability of earning a profit of K10,000 and a 30% probability of incurring a loss of K10,000. His utility at the moment is 20 utiles with the current K10,000. With K20, 000 his utility would be 25 utiles and with K0 his utility would be zero.a) What is the expected profit of the project? b) What is the expected marginal utility of the project? Is Mr Phiri likely to invest in the project? Mr Sinkala also has K10,000 from which he derives 20 utiles. However, Mr Phiri derives 15 utiles from the profit of K10,000.c) What is the expected marginal utility for Mr Sinkala? d) How can you describe Mr Phiri and Mr Sinkala in terms of their attitude towards risk?Economics A group of 20,000 households in one neighborhood was covered in fire insurance that estimates a 2% probability of loss. Assuming that in the same neighborhood, the actual number of houses gutted by fire within one coverage cycle is 350 to 450. Requirements; a. Compute for the expected value of the loss.A wheel of fortune in a gambling casino has 54 different slots in which the wheel pointer can stop. Four of the 54 slots contain the number 9. For a 1 dollar bet on hitting a 9, if he or she succeeds, the gambler wins 10 dollars plus the return of the 1 dollar bet. What is the expected value of this gambling game? What is the meaning of the expected value result?
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