1. Vernon, Carey, and Perry were partners in Capstone Clothiers, a retail clothing store. They decided to change the organization of the business to a corporation. They changed the business name to Capstone
Clothing, Inc. and notified creditors of the change. Have they formed a valid corporation?
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Afinancial institution, the thriftem bank, is in the process of formulating its loan policy for the next quarter. a total of $12 million is allocated for that purpose. being a full-service facility, the bank is obligated to grant loans to different clientele. the following table provides the types of loans, the interest rate charged by the bank, and the possibility of bad debt as estimated from past experience. type of loaninterest rateprobability of bad debtpersonal.140.10car.130.07home.1 20.03farm.125.05commercial.100.02 bad debts are assumed unrecoverable and hence produce no interest revenue either. competition with other financial institutions in the area requires that the bank allocate at least 40% of the total funds to farm and commercial loans. to assist the housing industry in the region, home loans must equal at least 50% of the personal, car, and home loans. the bank also has a stated policy specifying that the overall ratio for bad debts on all loans may not exceed .04. formulate this problem as a linear program. define your variables clearly and write all the constraints explaining the significance of each.

After the price floor is instituted, the chairman of productions office buys up any barrels of gosum berries that the producers are not able to sell. with the price floor, the producers sell 300 barrels per month to consumers, but the producers, at this high price floor, produce 700 barrels per month. how much producer surplus is created with the price floor? show your calculations.

Many potential buyers value high-quality used cars at the full-information market price of € p1 and lemons at € p2. a limited number of potential sellers value high-quality cars at € v1 ≤ p1 and lemons at € v2 ≤ p2. everyone is risk neutral. the share of lemons among all the used cars that might be potentially sold is € θ . suppose that the buyers incur a transaction cost of $200 to purchase a car. this transaction cost is the value of their time to find a car. what is the equilibrium? is it possible that no cars are sold