Bill Jones has just won the state lottery and has the following three payout options for after-tax prize money: 1. $150,000 per year at the end of each of the next six years 2. $304,000 (lump sum) now 3. $500,000 (lump sum) six years from now The annual discount rate is 9%. Compute the present value of the first option. (Round your answer to the nearest whole dollar.)

cranium, inc., purchases term papers from an overseas supplier under a continuous review system. the average demand for a popular mode is 300 units a day with a standard deviation of 30 units a day. it costs $60 to process each order and there is a five−day lead−time. the holding cost for a paper is $0.25 per year and the company policy is to maintain a 98% service level. cranium operates 200 days per year.what is the reorder point r to satisfy a 98% cycleminus−service level? a. greater than 1,700 unitsb. greater than 1,600 units but less than or equal to 1,700 unitsc. greater than 1,500 units but less than or equal to 1,600 unitsd. less than or equal to 1,500 units

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Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]