olivi is a promising singer-songwriter who lives in Nashville, TN. She rents a 150ft office for $1,500 p month on Broadway (i.e., K = 150, r = $10 per sqft). She currently works about 60 hours per week writi nd rehearsing songs, and she can normally make around $100/hour when she accounts for her performan es (i.e., L = 60, wL = $100 per hour). The number of songs she writes and performs each week, s, is 1 S = 10.5 0.5 10 ote that s can take a non-integer value to incorporate the situations where she writes a duet or simp ngs a verse on another artist's song. Assume that if she suffered from writer's block or her fingers hurt a ceded help playing the guitar, she can hire other musicians of similar quality to increase the labor input he same wage of $100 per hour. (a) Derive Jolivi's short-run cost function (b) In the long run, Jolivi can vary both capital and labor. Write down her long-run cost function (c) What is the lowest price for a song at which Jolivi will remain a singer-songwriter (contin producing songs)? (d) What is the "break-even" price for a song