1. Bilbo has been promised an inheritance of $400,000 next year, but she is flat broke right now, with no money at all. A moneylender has offered to advance her up to $200,000 today, with an interest rate of 100% (i.e., she gets $x now, but has to repay $2x next year.) Bilbo's utility function is given by u(A,B) = 30.5 A + 0.2A, where A is her consumption this year and B is consumption next year. If the amount she borrows is given by x, write out her utility maximization problem in terms of x. Your answer should not include the letters "A" or "B