Marianne and roger are in good health and have reasonably secure careers. each earns $45,000 annually. they own a home with a $125,000 mortgage; they owe $25,000 for their car loans and have $22,000 in student loans. if one should die, they think that funeral expenses would be $12,000. what is their total insurance need using the dink method?

Anew equipment has been proposed by engineers to increase the productivity of a certain manual welding operation. the investment cost is $25,000, and the equipment will have a market value of $5,000 at the end of a study period of five years. increased productivity attributable to the equipment will amount to $10,000 per year after operating costs have been subtracted from the revenue generated by the additional production. if marr is 10%, is investing in this equipment feasible? use annual worth method.

Suppose a ceiling fan manufacturer has the total cost function c(x) = 48x + 1485 and the total revenue function r(x) = 75x. (a) what is the equation of the profit function p(x) for this commodity? p(x) = (b) what is the profit on 35 units? p(35) = interpret your result. the total costs are less than the revenue. the total costs are more than the revenue. the total costs are exactly the same as the revenue. (c) how many fans must be sold to avoid losing money? fans

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.