1) Tracy is a salesperson working for PLUM autonomous drone company. The utility function of Tracy is given by ?(?, ?, ?) = ? ? ?(?) ???? ? ?? ?????? ?????? ????, ? ?? ? ????? ??????? ??? ?? ??????????? ?? ????? ???????, ??? ?(?) ?? ?????? ???? ?? ?????? ???? ?(?) = 7 ?? ? < 10 ??? ?(?) = ( 1 2 (? 10) 2) ?? ? 10. Jane is Tracy's boss, who is maximising PLUM's profits which are given by: ?(?, ?, ?) = ?(?) ? ?, ???? ?(?) ?? ?? ???? ? ?????? ????? ???????? ??? ?(?) = 200? Jane cannot observe Tracy's effort (e) directly but observes the sales revenue R(e) and can set the bonus payment b to depend on sales revenues. a. Suppose Jane sets Tracy's weekly wage to be $983 and the bonus payment b to be zero. What would be Tracy's effort level (e) and PLUM's profits? (1 mark) b. Suppose Jane sets Tracy's weekly wage to be $83 and the bonus payment b to be $805 conditional on reaching a sales target of ?(?) = 8000 (i.e., b=0 if sales revenues are