(40 pt.) a monopolist has a quadratic cost function c(q) = q2 + 12. the market demand is given by q(p) = 24 − p. a. (5 pt.) find inverse demand function p(q) and revenue function r(q). b. (5 pt.) write down the profit maximization problem of this monopolist. c. (10 pt.) determine the monopolist’s choice qm that maximizes profit by investigating the first- and second-order conditions. d. (10 pt.) find the price p m the monopolist would set up and calculate the profit at the monopoly outcome. e. (10 pt.) find market outcome (qc , p c ) in which the monopolist behaves as if in a competitive market, and calculate the profit at this outcome.

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.

There is a small, family-owned store that sells food and household goods in a small town. the owners have good relations with the community, especially with local farmers who supply much of the food. the farmers aren't organized into a cooperative or union, and the store deals with each individually. suppose the store wanted to buy some farms to control the supply of certain vegetables. how would you classify this strategic move? select one: a. horizontal integration b. forward integration c. backward integration d. concentric integration

Horace society is planning its annual western fair raceway gala. the gala committee has assembled the following expected costs for the event: dinner (per person) $10 gaming token and program (per person) $2 prize payouts $4,300 tickets and advertising $800 private box suite rental $1,700 lottery licenses $200 the committee members would like to charge $40 per person for the evening’s activities. required: 1. what is the break-even point for the dinner-dance (in terms of the number of persons who must attend)? 2. assume that last year only 200 persons attended the dinner-dance. if the same number attend this year, what price per ticket must be charged in order to break even? 3. refer to the original data ($40 ticket price per person). prepare a cvp graph for the dinner- dance from zero tickets up to 600 tickets sold.