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(1) Michelle monopoly mutant has the exclusive right to sell mutant In the united States The demand for these tshirts is Q= 10, 000 p2 The finns shortrun cost Is SRIC= 2000 + 5Q and the Longrun cost IS LRIC = 60 (9 what price should mmap charge to maximise profit in the shortrun? what quantity does It sell and how much profit does It make? would It be better off If they shut down? (b) What price Should they charge in the longrun? what quantity foes it sell and how much do they make (0) can we expect that they have Lower marginal cart in the short run than in the Longrun ? ( 2 ) A from faces the following average revenue demand airve P= 100 - 0.019 where a is weekly production and p I price measured in cents por unit. (ino firms cost function is given by C= Sop + 30,000. Assuming the firms profit is zero ( 9) what is the level of production, price, and total profit por week (by IF the government decides to levy tax of to cents per unit on this product what will be the level of production price and Profit (3 ) A monopolist faces the demand curve P= 11- whor p is measured in dollars per unit and Q in thousands unit. (Ine monopolist has a constant average cast of IN'6 per unit ay Draw an average and marginal revenue curves and average & marginal cast curves what is the profit maximazation of the firm. what is the profit- Calculate the firms degree of monopoly power ( b) A government regulatory agency sets a price alling of 7 per unit . what quantity will be produced and what will be the profit () what is the price ceiling yield on the largest level of actpult? What is the level of output what is the firms degree of Monopsony 4. benand curve of a monopoly |9= 144 p. where I is the quantity demanded and p is price Average cost Vonable = Avc = Q1/12 % ay what is the profit maximizing price & Quantity . what is profit suppose the gpremment regulates the price to be greater 12 thans'4 ellait how much will the monopoly produce Government price alling is being imposed to monopout. What ( C) price will it bel2.3 Exercise 3.4 Consider a communication link with a constant rate of 4.8kbit/ sec. Over the link we transmit two types of messages, both of exponentially distributed size. Messages arrive in a Poisson fashion with A = 10 messages/second. With prob- ability 0.5 (independent from previous arrivals) the arriving message is of type I and has a mean length of 300 bits. Otherwise a message of type 2 arrives with a mean length of 150 bits. The buffer at the link can at most hold one message of type 1 or two messages of type 2. A message being transmitted still takes a place in the buffer. a) Determine the mean and the coefficient of variation of the service time of a randomly chosen arriving message. b) Determine the average times in the system for accepted messages of type 1 and 2. c) Determine the message loss probabilities for messages of type 1 and 2.2.4 Exercise 3.5 Consider a Markovian system with discouraged job arrivals. Jobs arrive to a server in a Poisson fashion, with an intensity of one job per 7 seconds. The jobs observe the queue. They do NOT join the queue with probability l if they observe k jobs in the queue. In = k/4 if k