2. Pam, a cat, only consumes two goods: fish (F) and candy (C). Through careful negotiations with Michael (her owner), Michael agrees to spend $72 per week to buy Pam these two goods and Pam can choose whatever bundle she prefers provided Michael can afford that bundle given the money he has to spend on the two goods. One can of fish cost $9 and one pack of candy costs $6. The table below shows some of Pam's marginal utilities relating to her consumption of these two goods: 6 12 6 MUF 72 36 24 14.4 10.28 | MUC 72 | 36 | 24 | 18 | 14.4 I 12 I 10.28 a. Given the above information and holding everything else constant, find the equation for Pam's budget line and then graph this budget line as BLI in a graph where candy (C) is measured on the vertical axis and fish (F) is measured on the horizontal axis. b. What is Pam's utility maximizing bundle at this budget constraint? What is her total utility from consuming this bundle? In your graph illustrate this optimal bundle and label it point A. Draw an indifference curve that goes through bundle A and is tangent to BLI: label this indifference curve ICI. c. Suppose the price of a can of fish decreases to S4 per can. Given this information and holding everything else constant, find the equation of Pam's new budget line (BL2) and graph it in the same diagram as in part (a). Label this new budget line BL2 d. What is her utility maximizing bundle with the new budget line? Remember you have that initial table to consult to help you figure this out! What is the change in her consumption of good F when Pam moves from point A to point B