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 payoffs scale 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 zero. How much is this proposition worth?

Cash flows during the first year of operations for the harman-kardon consulting company were as follows: cash collected from customers, $385,000; cash paid for rent, $49,000; cash paid to employees for services rendered during the year, $129,000; cash paid for utilities, $59,000. in addition, you determine that customers owed the company $69,000 at the end of the year and no bad debts were anticipated. also, the company owed the gas and electric company $2,900 at year-end, and the rent payment was for a two-year period.