In fairlawn, there are $5000$ households with an average of $2.26$ people per household. of these households, $1400$ are single-person households and the rest are multiple-person households. on average, how many people are in each multiple-person household?

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.120.03farm.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.

Capital financial corporation will lend 90 percent against account balances that have averaged 30 days or less; 80 percent for account balances between 31 and 40 days; and 70 percent for account balances between 41 and 45 days. customers that take over 45 days to pay their bills are not considered acceptable accounts for a loan. the current prime rate is 16.50 percent, and capital charges 3.50 percent over prime to charming as its annual loan rate. a. determine the maximum loan for which charming paper company could qualify.

Google started as one of many internet search engines, amazon started as an online book seller, and ebay began as a site where people could sell used personal items in auctions. these firms have grown to be so large and dominant that they are facing antitrust scrutiny from competition regulators in the us and elsewhere. did these online giants grow by fairly beating competition, or did they use unfair advantages? are there any clouds on the horizon for these firms -- could they face diseconomies of scale or diseconomies of scope as they continue to grow? if so, what factors may limit their continued growth?