Five batch jobs, a through e, arrive at a computer center at essentially the same time. they have an estimated running time of 15, 9, 3, 6, and 12 minutes, respectively. their (externally defined) priorities are 6, 3, 7, 9, and 4, respectively, with a lower value corresponding to a higher priority. for each of the following scheduling algorithms, determine the turnaround time for each process and the average turnaround for all jobs. ignore process switching overhead. explain how you arrived at your answers. in the last three cases, assume that only one job at a time runs until it finishes and that all jobs are completely processor bound. • a. round robin with a time quantum of 1 minute • b. priority scheduling • c. fcfs (run in order 15, 9, 3, 6, and 12) • d. shortest job first

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4. suppose that pollution in a neighborhood comes from two factories, with marginal benefit curves given by mb1 = 12 – p1 and mb2 = 8 – p2. the level of pollution in the neighborhood is given by p = p1 + p2. the government wants to limit pollution by instituting a pollution-rights market. the government’s desired level of p is 10, so it prints 10 pollution rights and offers them for sale to the firms.a)find the equilibrium selling price of a pollution right, as well as the allocation of rights (and hence pollution levels) across the two factories. b)repeat part (a) for the case where the government’s desired level of pollution equals 14. c)comment on the usefulness of a pollution rights market in achieving efficient levels of pollution abatement.

Problem 9-5. net present value and taxes [lo 1, 2] penguin productions is evaluating a film project. the president of penguin estimates that the film will cost $20,000,000 to produce. in its first year, the film is expected to generate $16,500,000 in net revenue, after which the film will be released to video. video is expected to generate $10,000,000 in net revenue in its first year, $2,500,000 in its second year, and $1,000,000 in its third year. for tax purposes, amortization of the cost of the film will be $12,000,000 in year 1 and $8,000,000 in year 2. the company’s tax rate is 35 percent, and the company requires a 12 percent rate of return on its films. required what is the net present value of the film project? to simplify, assume that all outlays to produce the film occur at time 0. should the company produce the film?