Collin likes milkshakes (m) and sushi (s). His prefercnes over these two goods are represented by the following utility function U(m,s) = 2M+a Collin's income is $100 and the price of sushi is $10. (a) Suppose the price of milkshakes is initially $2. Find Collin's optimal consumption bundle. (b) Draw a graph (with In on the horizontal axis and s on the vertical axis) to show Collin's budget line, his indifference curve, and his optimal bundle. (c) Suppose the price of milkshakes increases to $5. How many units of milkshake and sushi are in Collin's new optimal consumption bundle? (d) Draw a new graph for the new optimal bundle (or add it to the graph you have draihtn above in part (b)) (e) What are the substitution and income effects that result from the increase in the price of milkshake? Calculate these effects algebraically and illustrate them on a new graph. (f) What is the amount of additional income needed for Collin to achieve the initial level of utility? What is the amount of additional income needed for Collin to purchase the initial bundle? What is the ideal cost of living index