Ann, Bob, and Carl are planning a gathering. Ann wants to have pizza and does not want to have tacos at all, but she would not mind burgers. Bob is indifferent and can have any cuisine. Carl insists that they have burgers or tacos but would not want to have pizza as he had pizza yesterday. a. For Ann, Bob, and Carl show their preference relations for the three cuisines. b. For Ann, Bob, and Carl assign utility representations that would satisfy the preference relations that you have identified in part a. c. Based on your analysis, what cuisine should Ann, Bob, and Carl get? Explain. d. Suppose Carl couldn't make the gathering, illustrate Ann and Bob's dinner plans in a strategic/normal form using the utility representations that you created in part b. e. What cuisine would Ann and Bob get? Explain.