There are two propositions: a) I flip a coin. If it is heads, you are paid$3; if it is tails, you are paid$0. It costs you$1 to participate in this proposition. You may do so at any level, or repeatedly and the scale of the payoff accordingly. b) You may keep your money in your pocket(earning no interest). Here is a third proposition: c) I flip the coin three times. If at least two of the flips are heads, you are paid$27; otherwise 0. How much is this proposition worth

Consider a two-firm industry. firm 1 (the incumbent) chooses a level of output q1. firm 2 (the potential entrant) observes q1 and then chooses its level of output q2. the demand for the product is p = 100 - q, where q is the total output sold by the two firms which equals q1 +q2. assume that the marginal cost of each firm is zero. a) find the subgame perfect equilibrium levels of q1 and q2 keeping in mind that firm 1 chooses q1 first and firm 2 observes q1 and chooses its q2. find the profits of the two firms-? 1 and ? 2- in the subgame perfect equilibrium. how do these numbers differ from the cournot equilibrium? b) for what level of q1 would firm 2 be deterred from entering? would a rational firm 1 have an incentive to choose this level of q1? which entry condition does this market have: blockaded, deterred, or accommodated? now suppose that firm 2 has to incur a fixed cost of entry, f > 0. c) for what values of f will entry be blockaded? d) find out the entry deterring level of q1, denoted by q1b, as a function of f. next, derive the expression for firm 1

Reliable electric is a regulated public utility, and it is expected to provide steady dividend growth of 5% per year for the indefinite future. its last dividend was $6 per share; the stock sold for $50 per share just after the dividend was paid. what is the company’s cost of equity? (do not round intermediate calculations. enter your answer as a percent rounded to 2 decimal places.)

Abakery wants to determine how many trays of doughnuts it should prepare each day. demand is normal with a mean of 5 trays and standard deviation of 1 tray. if the owner wants a service level of at least 95%, how many trays should he prepare (rounded to the nearest whole tray)? assume doughnuts have no salvage value after the day is complete.