Question 4. Suppose that Dave only cares about pizza (P) and water (W). His utility function isU = % + Y. The price of P is $10, and the price of W is $1. Dave has a budget of $60 for food and beverage. (a) Write down the consumers maximization problem and solve for the marginal utility of goods P (MUp) and W (MUyy). (b) What is the optimal choice of P and W for Dave to maximize his utility? (c) What is the utility generated by Dave at this optimal choice from part (b)? (d) Draw and label a graph containing Dave's budget line, his optimal bundle from part (b), and his indifference curve at this utility