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alia owns a small coffee roasting firm in Manchester. She is in a monopolistically competitive market and so has some market power. The inverse demand unction that she faces is given by P=3o - 0.7 Q here P is the price per kilo and Q is the kilos of coee demanded and her total costs are given by TC=16+1SQ \"3.1502 a) What is the marginal revenue function of this firm? Use capital letters in your response (i.e. 0 not q). Ft: l 30-1 .40 IE b) What is the marginal cost function of this firm? Use capital letters in your response (La. 0 not q) G=l 15+o.30 IE d) How many kilos of coffee should Dalia roast if she wants to maximize her profits? Give your answer to within one decimal place (e.g. 4.1 ). Make sure you und correctly. 0 within one decimal place (e.g. 2.3), she will produce ' 8.8 .m .kgs of coffee to maximize prots. e) To within one decimal places fag. 7.1). How much prot does she make? Make sure you round correctly. he makes E' 50.2 .m E of profit. f) How many kilos would she produce and what price would she charge if the coffee market was perfectly competitive? Give your answer to within one ecimal place (e.g. 11.4). he would make ' a kg of coffee and charge 2 ' a la per kg. 9) Calculate the social cost (deadweight loss) of Dalia's market power (hint: its the area of a triangle). Give your answer to within one decimal place (e.g. .3). he deadweight loss is