The Acme Company produces and sells widgets. They currently charge $48 per widget, and they sell 452 widgets per week. If the price is increased to $54.58 per widget, then 62 fewer widgets per week can be sold. Assuming that demand is linear, find the value for elasticity of demand at the current price. Round as necessary.

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.

An outside manufacturer has offered to produce 60,000 daks and ship them directly to andretti's customers. if andretti company accepts this offer, the facilities that it uses to produce daks would be idle; however, fixed manufacturing overhead costs would be reduced by 75%. because the outside manufacturer would pay for all shipping costs, the variable selling expenses would be only two-thirds of their present amount. what is andretti's avoidable cost per unit that it should compare to the price quoted by the outside manufacturer?

True or flase? a. new technological developments can us adapt to depleting sources of natural resources. b. research and development funds from the government to private industry never pay off for the country as a whole; they only increase the profits of rich corporations. c. in order for fledgling industries in poor nations to thrive, they must receive protection from foreign trade. d. countries with few natural resources will always be poor. e. as long as real gdp (gross domestic product) grows at a slower rate than the population, per capita real gdp increases.