6. Suppose a person's utility over two goods is given by U(x1, X2) = 4log x1 + log x2 The price of of x1 is p1 = 4, the price of good x2 is p2 = 5. The total wealth of the consumer is 100. (a) Write down this consumer's budget constraint. 5 points. (b) Calculate this consumers optimal consumption of each good. 5 points. (c) Sketch the solution to this consumer's decision problem, include ing the budget constraint and Euler equation. 5 points