Peter is considering his purchase of good X and good Y with Px = $50, Py = $50. His utility function is U(X,Y)= (XY)"", where X is the number of units of good X and Y is the number of units of good Y. Peter's income is 1=$50. Suppose the price of good X increase to Px = $60. Find the substitution and income effects on X consumption and graph the results. Explain whether good X is a normal, inferior or independent good for Peter