Five consumers have the following marginal utilities of apples and pears: consumer marginal utility of apples marginal utility of pears manuel 8 10 poornima 7 16 shen 6 12 valerie 5 9 antonio 4 8 the price of an apple is $1, and the price of a pear is $2. which, if any, of these consumers are optimizing over their choice of fruit? check all that apply.

Last year, western corporation had sales of $5 million, cost of goods sold of $3 million, operating expenses of $175,000 and depreciation of $125,000. the firm received $40,000 in dividend income and paid $200,000 in interest on loans. also, western sold stock during the year, receiving a $40,000 gain on stock owned 6 years, but losing $60,000 on stock owned 4 years. what is the firm's tax liability?

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.

Carrie works at a canned food production factory. the government wanted to give a boost to the salt industry, so it lined up numerous subsidies and tax exemptions for the sector. this lead to a decrease in production costs. this also meant that consumers could access canned foods at a lower price, which lead to an increase in demand for the product. which kind of economic system is carrie’s company dealing with? carrie’s company is dealing with a/an economy.