1. The Perfect Circle Company manufactures bushings. Once each hour a sample of 125 finished bushings is drawn from the output; each bushing is examined by a technician. Those which fail are classified as defective; the rest are satisfactory. Here are data on ten consecutive samples taken in one week: Sample no. 1 2 3 4 5 6 7 8 9 10 Defective 15 13 16 11 13 14 20 25 30 45

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x,y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.

Carmen’s beauty salon has estimated monthly financing requirements for the next six months as follows: january $ 9,000 april $ 9,000 february 3,000 may 10,000 march 4,000 june 5,000 short-term financing will be utilized for the next six months. projected annual interest rates are: january 9 % april 16 % february 10 may 12 march 13 june 12 what long-term interest rate would represent a break-even point between using short-term financing and long-term financing?

Shelly bought a house five years ago for $150,000 and obtained an 80% loan. now the home is worth $140,000 and her loan balance has been reduced by $12,000. what is shelly's current equity?