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Question 3. A restaurant requires two people to operate: a cook and a server. The restaurant's prots (y) depend on the total efforts that they exert: J' = wcookecook 'l' wserveresewerr where a; is person i's effort and w; 1::- is a parameter that measures the importance of person i's effort for the restaurant's profits. Effort costs are quadratic: _ 2:? 6(a) 2. In pans laL ml, and lot, suppose they are given shares 312 i] of the restaurant's profits. That is, the person in charge of cooking gets paid amok -y and the person in charge of serving is paid $531,139,. - 3;. Since they share all the prots from the restaurant. their shares add up to 100%: Scoot 'l' Sserner = 1- a) Calculate the efforts exerted by the cook and the server as a function of their shares Stock and SSET'UE'T' b) Calculate the shares scam: and 359\