Monica consumes only goods a and b. suppose that her marginal utility from consuming good a is equal to startfraction 1 over upper q subscript a endfraction , and her marginal utility from consuming good b is startfraction 1 over upper q subscript b endfraction . if the price of a is $0.50, the price of b is $4.00, and monica's income is $120.00, how much of good a will she purchase

Amathematical approximation called the rule of 70 tells us that the number of years that it will take something that is growing to double in size is approximately equal to the number 70 divided by its percentage rate of growth. thus, if mexico's real gdp per person is growing at 7 percent per year, it will take about 10 years(=70/7) to double. apply the rule of 70 to solve the following problem. real gdp per person in mexico in 2005 was about $11,000 per person, while it was about $44,000 per person in the u.s. if real gdp per person in mexico grows at the rate of 5 percent per year: how long will it take mexico's real gdp per person to reach the level that the united states was at in 2005? (hint: how many times would mexico's 2005 real gdp per person have to double to reach the u.s.'s 2005 real gdp per person?

Roi analysis using dupont model. charlie? s furniture store has been in business for several years. the firm? s owners have described the store as a ? high-price, highservice? operation that provides lots of assistance to its customers. margin has averaged a relatively high 32% per year for several years, but turnover has been a relatively low 0.4 based on average total assets of $800,000. a discount furniture store is about to open in the area served by charlie? s, and management is considering lowering prices in order to compete effectively. required: a. calculate current sales and roi for charlie? s furniture store. b. assuming that the new strategy would reduce margin to 20%, and assuming that average total assets would stay the same, calculate the sales that would be required to have the same roi as they currently earned. c. suppose that you presented the results of your analysis in parts a and b of this problem to charlie, and he replied, ? what

Neveready flashlights inc. needs $317,000 to take a cash discount of 3/15, net 70. a banker will loan the money for 55 days at an interest cost of $13,200. a. what is the effective rate on the bank loan? (use a 360-day year. do not round intermediate calculations. input your answer as a percent rounded to 2 decimal places.) b. how much would it cost (in percentage terms) if the firm did not take the cash discount but paid the bill in 70 days instead of 15 days? (use a 360-day year. do not round intermediate calculations. input your answer as a percent rounded to 2 decimal places.) c. should the firm borrow the money to take the discount? no yes d. if the banker requires a 20 percent compensating balance, how much must the firm borrow to end up with the $317,000? e-1. what would be the effective interest rate in part d if the interest charge for 55 days were $7,200?