A private garage owner has identified two distinct market segments: short-term parkers and all-day commuters. Their respective demand functions are Ps = 4 − s 200 PC = 2 – C 200 Here, Ps, Pc are the average hourly rates and Qs, Qc are the number of cars parked at these prices. There is no cost of parking cars. a. For now, suppose that there is unlimited capacity in the garage. If the garage owner cannot determine whether a customer is a short-term parker or an all-day commuter, and can only set one price, what is the profit maximizing price they should set? How many cars will park in the garage? b Now suppose that there is still unlimited capacity, but the garage owner can price discriminate by charging each group of consumers a separate price. What are the optimal prices Ps, Pc and number of cars Qs, Qc? c. Suppose that there is limited capacity in the garage, and there are only 400 parking spots. The owner can still price discriminate by type of consumer. What are the optimal prices Ps, Pc and number of cars Qs, Qc after accounting for the capacity constraint?

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.

At the end of year 2, retained earnings for the baker company was $3,550. revenue earned by the company in year 2 was $3,800, expenses paid during the period were $2,000, and dividends paid during the period were $1,400. based on this information alone, retained earnings at the beginning of year 2 was:

Each row in a database is a set of unique information called a(n) table. record. object. field.