The table below shows the total benefit, in dollars, that Polina derives from consuming two goods, sandwiches and Good E. Quantity of Sandwiches Total Benefit of Sandwiches Quantity of Good E Total Benefit of Good E $0 0. so $120 1 $120 $210 2. $180 3 $270 3 $210 $300 4 $222 $310 5 $225 $315 $225 Polina has a limited weekly income of $24, and she spends it all on sandwiches and Good E. Assume the price of each sandwich is $3 and the price of Good E is $6 per unit. (a) Calculate Polina's consumer surplus from the third unit of Good E. Show your work. (b) Identify the quantity of Good E and the quantity of sandwiches that will maximize Polina's total benefit given her weekly income. Explain using marginal analysis. (c) If Polina's weekly income increases from $24 to $28, will Polina be able to buy 4 sandwiches and 3 units of Good E? Explain using numbers. (d) Suppose the price of Good E increases by 8% and Polina buys 2% less of Good E and 4% more of Good Y. Based on this change, identify whether Good E and Good Y are substitutes, complements, related. Explain using numbers. (e) Suppose instead that sandwiches are produced in a perfectly competitive market and the price of bread, an input to the production of sandwiches, decreases. If sandwiches are a normal good, w quantity of sandwiches that will maximize Polina's total benefit increase, decrease, or stay the same? Explain.