4. A customer has preferences U = x 2x. and demand functions x Y 1 2p. ' 2 2P, income is $100. a) How many units of each good does the customer buy if the price of each good in $2? How much utility does the consumer get? b) How manu units of each good does the consumer buy if the price of each x is $1 and the price of x, is still $2? c) What is the equation for the indifference curve for each of these preferences? d) What is the price-consumption curve for this consumer? Substitute your answer from equation for the indifference curve into the price-consumption curve so that you have a function of both prices and the level of utility! I f) The equation you obtained in part e tells you the optimal choice of x, for a given set of prices and a given utility function. How much of x and x, does the customer buy if the price of each x, is still $2 and the utility is 25? g) Based on your answers to the previous problems what is the substitution of the price change you find in part a and part b? What income effect? This is for x. h) Draw a diagram illustrating the substitution, income, and tital effect of the price change