Like many college students, Melanie applied for and got a credit card that has an annual percentage rate (APR) of 12%. The first thing she did was buy a new stereo system for $400. At the end of the month, her credit card statement said she only needed to make a minimum monthly payment of $15. Assume Melanie makes her payment when she sees her statement at the end of each month. If Melanie doesn't charge anything else and only makes the minimum monthly payments, approximately how many months would it take her to completely pay off the stereo system

Sauer food company has decided to buy a new computer system with an expected life of three years. the cost is $440,000. the company can borrow $440,000 for three years at 14 percent annual interest or for one year at 12 percent annual interest. assume interest is paid in full at the end of each year. a. how much would sauer food company save in interest over the three-year life of the computer system if the one-year loan is utilized and the loan is rolled over (reborrowed) each year at the same 12 percent rate? compare this to the 14 percent three-year loan.

Ashop owner uses a reorder point approach to restocking a certain raw material. lead time is six days. usage of the material during lead time is normally distributed with a mean of 42 pounds and a standard deviation of four pounds. when should the raw material be reordered if the acceptable risk of a stockout is 3 percent?

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.