Suppose the utility function for goods x and y is given Utility = U(x, y) = 2xty a. Suppose price of both x and y is $1. You have total $10 to spend, calculate the amount of good x and y you are willing and able to buy? b. Suppose price of x changed to $4. Price of y and your disposable income remain the same: i. calculates the change in the amount of good x, that is caused by the substitution effect (the effect on consumption due to a change in price holding real income or utility constant). ii. calculate the change in the amount of good x, that is caused by the income effect (the effect on consumption due to a change in real income caused by a change in price)