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ig su How mach would be s from the case e ri in planting a crop (Q the portahle rados they esport to 1,250000 per year? Explain how this differ a. What is the equi b. If Po rep ari firms cost function ts thar the marker demand for a product is given by QoA-BP Suppose also that the at con for the typical firm in this market as a function of all the parameters in this A and B affect the equilibrium number of firms in t aph your resu cobweb model. output and price problem, the equilbrium number of firms in this market hw changes in the demand parameters aCompute the is market of the typical firms cost function affect the long-run equilibrium nunm Analytical Problems 12.10 Ad valorem taxes the macker A similar analysis would hold for ad valorem taxes-that is, taxes on the value of the transaction (or, what SUGGES analysis of taxes we have used per-unit taxes-that is, a tax of a fixed amount for each Arnott, R. Tim Economic Persp Provides an provides a r deMelo, J., and tas in Textiles Statistics (Aug thr same thig proportinu taxes on prae Given an ad valorem tax rate of t (に0.05 for a (1 + t)Ps t amounts 5 percent tax), the gap between the pricer demanders pay and what suppliers receive is given by Pp 7The seventeent tion consists in s 8See F. Ramsey

Chapter 12: The Partial Equilibrium Competitive Model 451 a. Show that for an ad valorem tax d In PD d In Ps e es and dt e dt es-ep Show that the excess burden of a small tax is DW 0.5 ebes t-p0Qo. eseD Compare these results with those derived in this chapter for a unit tax. 12.11 The Ramsey formula for optimal taxation resul in the theory of optimal taxation is due to the English economist Frank Ramsey, who conceptualized the proble atax system that would collect a given amount of revenues with the minimal deadweight loss.a s th nrices p) to be taxed with a sequence of ad valorem taxes (see Problem 12.10) The development of optimal tax policy has been a major topic in public finance for centuries.1 Probably the most T toir. Ramseys problern is for a fixed

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