# Question: let basket a be x y 4 3 for...

###### Question details

Let basket A be (x, y) = (4, 3). For each of the following utility functions (a-d), answer the following questions (iiv):

i) Determine the utility at basket A

ii) Write out the equation for the indifference curve that basket A lies on. (simplify to y equals some function of x)

iii) Find 3 other points that lie on the same indifference curve as A.

iv) Calculate the MRS_{x,y} at basket A and give an
economic interpretation of what the means in words.

(a) U (x, y) = 9xy.

(b) U (x, y) = 2x^{2} + 5y^{2} .

(c) U (x, y) = 6x^{1/2} + y.

(d) U (x, y) = 8x + 7y.