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2} Karim Khan is an aspiring actor who loves to watch movies. Karim works as a an assistant to Amina, who wants Karim to do 3 hours of work regardless of the wage, so her labor demand is given by i\" (w) = E. Karim accepts to work for Amina {but he can work less than 3 hours if he wishes}, and has no other source of income. His utility depends on two things, the number of movies that he watches per day, and the hours of leisure he has per day. He has to sleep 3 hours a day which does not contribute to any utility, so he has only 15 hours per day to allocate between labor and leisure. [20] a] If Karim has to choose L hours of leisure per 15-hour work day, the wage is w, and streaming each movie costs him Hs.1 write down Kari m's budget constraint in term of M, w, and L. [5] b] Movies and leisure are perfect complements for Karim. He does not value his leisure time if he has no money to stream a movie. And he does not value money if he has no leisure time to watch a movie. Thus, Karim's utility is given by MM, L} = min{M, L}. Find Karim's optimal demand for leisure hours, call it If. [5] c} Using your answer to [b] nd Karim's labor supply curve. [3] d] Find the equilibrium wage for Karim's labor. [4] e} What would happen to the number of hours worked if Karim's mobile operator started offering a discount for streaming movies? No math is needed, you can answer intuitively. [3]