Fred is thinking of starting a bowling alley near a college campus. fred is an expected utility maximizer with utility function: u(w) = 1 – (3000/w), where w is his wealth. fred’s total wealth is $12,000. with probability 0.2 the alley will be a failure and he’ll lose $9,000, so that his wealth will be just $3,000. with probability 0.8 it will succeed and his wealth will grow to $x. what is the smallest value of x that would be sufficient to make fred want to invest in the bowling alley rather than have a wealth of $12,000 with certainty?

Which of the following statements about brand names is true? brand names give the seller an incentive to provide consistently high-quality products and services in order to protect the reputation of the brand. brand names are always economically wasteful since they dupe consumers into buying more expensive goods and services that are no different from generic versions. it is always rational to prefer brand names over generic substitutes. read the following example and determine whether it illustrates a common critique or defense of advertising. musashi sees a commercial for a brand x clothing company that depicts the wearers of the clothes out having a good time with friends. although he doesn't particularly need new clothes, the commercial prompts him to buy a brand x t-shirt.

The hartman family is saving $400 monthly for ronald's college education. the family anticipates they will need to contribute $20,000 towards his first year of college, which is in 4 years .which best explain s whether the family will have enough money in 4 years ?

Lavage rapide is a canadian company that owns and operates a large automatic car wash facility near montreal. the following table provides data concerning the company’s costs: fixed cost per month cost per car washed cleaning supplies $ 0.70 electricity $ 1,400 $ 0.07 maintenance $ 0.15 wages and salaries $ 4,900 $ 0.30 depreciation $ 8,300 rent $ 1,900 administrative expenses $ 1,400 $ 0.03 for example, electricity costs are $1,400 per month plus $0.07 per car washed. the company expects to wash 8,000 cars in august and to collect an average of $6.50 per car washed. the actual operating results for august appear below. lavage rapide income statement for the month ended august 31 actual cars washed 8,100 revenue $ 54,100 expenses: cleaning supplies 6,100 electricity 1,930 maintenance 1,440 wages and salaries 7,660 depreciation 8,300 rent 2,100 administrative expenses 1,540 total expense 29,070 net operating income $ 25,030 required: calculate the company's revenue and spending variances for august.