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2. {20 marks) Marie, who earns $2000 this month and $3000 the next month, has a utilityF function given by U'eu,cl]=else where Cu is the value of consumption this month and C1 is the value of consumption next month. Marie's marginal utilities are MU0=C1 and MUI=Cu. Suppose the interest rate for borrowing is equal to the deposit rate of 10%. a. Draw the graph of Marie's intertemporal budget line. What is the slope? b. Will Marie borrow this month? e. Now, assume that the deposit rate is 10%, but the borrowing rate is 20%. IfMarie's utility function is as in part a), U [ca,c1]=c1*cn, draw the new budget line and decide if Marie will borrow, lend, or do neither. d. What if the rate to borrow was 7.5% and deposit rate is 5%