a) Partially differentiate the utility function to find expressions for the marginal utility of x and y.
b) What is the marginal rate of substitution when x = 2 and y = 16
c) The consumer has a budget of $96 to spend. The price of x is $12 and the price of y is $6. Write the equation for the budget constraint.
d) What is the slope of the budget line, dy/dx?