4. Suppose that Kyle's value function for cookies can be described as follows: v(x) = {2x₁ a) What does à denote? b) Assuming 2 = 2 fill in the following table: -5 -4 -3 -2 -1 0 1 2 3 4 5 x ≥ 0 x < 0 V(x) c) Plot Kyle's value function in a diagram and comment on its shape.

Assume the market clearing price is $5.00 for deli sandwiches and the amount of exchange that would take place at that price is 200 deli sandwiches per day. You, however, don't have this information and have just opened your deli. You decide to price your sandwiches at $9.00 and are willing and able to sell 285 sandwiches per day at that price. When you do this, you notice you sell 100 sandwiches per day. Draw this situation on a graph and then explain what will happen in this market -- i. e., if there is a shortage or surplus, show this on the graph and then explain what the shortage or surplus will cause to happen in the market. Make sure you talk about inventories in your answer.

C. Suppose your neighbor is a physics major who also races motorcycles, and she tells you that horsepower can be expressed in terms of the following equation: H = MDA/S where M=mass, D-distance, A=acceleration and S and H are as defined above. Based on this conversation with your neighbor, you decide to change the functional form of the relationship to include 1/H rather than H as an explanatory variable because that's the appropriate theoretical relationship between the two variables. Estimate the above equation, substituting 1/H for H. Which of the two models do you prefer and why?

The graph given below indicates Marshall's marginal utility for two products, A and B. Marginal utility 12 10 8 2 0 2 4 6 Quantity per period 8 Product A Product B 10 W