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Joan Robinson realised that this profit attracts new entrants to the monopolistically competitive industry. Each new entrant steals some business away from existing firms. Graphically, this results in the demand curve for any existing firm, like that of Figure 13-4, shifting down and to the left. At each possible price that the firm may charge, it sells fewer units than before because new entrants have stolen some of its old business away. Furthermore, new entrants continue to enter the industry and move demand curves down and to the left until profits are driven all the way down to zero. Only then does the entry of new firms come to a halt. You can see this sort of equilibrium in Figure 13-5. Here, the demand curve shifts left all the way to D2, just tangent to the ATC curve at point B. As the demand curve moves left, so does the marginal revenue curve, which now lies at MR2. Consequently, when the firm optimises its production level by producing where the MC curve crosses MR2, it now produces at output level q*2.

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Pricing using Numerical Methods else: # evaluate underlying underlying = ctr.retrieve symbol("underlying") underlying *= 0 # not pretty cnt = 0 for l in self. trade.legs(): underlying += ctr.retrieve symbol("leg"+str(cnt)) cnt += 1 self. symbol listener (from , "underlying"\ , self. trade.exercise type()*underlying) # rollback berm berm = ctr.retrieve symbol("berm") self. symbol listener (from , "berm", berm) berm = ctr.rollback max(from , to , berm\ , self. trade.exercise type()*underlying) # rollback underlying underlying = ctr.rollback(from , to , underlying) # update symbols ctr.update symbol("underlying", underlying, to ) ctr.update symbol("berm", berm, to ) . . .

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As we explain in 11, the marginal revenue curve for a competitive firm, MRc, is a horizontal line set at the market price, pc, because a competitive firm is such a small part of its industry that it can t affect the market price. As a result, it can sell as many or as few units as it wants at pc, meaning that the marginal revenue it gets for every unit it chooses to produce is pc. As we show in Figure 12-4, MRc = pc for a competitive firm.

C.4.4.4 Representing Rotations The problem with rotation vectors as representations for rotations is that the rotation vector representing successive rotations r1 ; r2 ; r3 ; . . . ; rn is not a simple function of the respective rotation vectors. This representation problem is solved rather elegantly using quaternions, such that the quaternion representation of the successive rotations is represented by the quaternion product qn 3qn 1 3 3q3 3q2 3q1 : That is, each successive rotation can be implemented by a single quaternion product. The quaternion equivalent of the rotation vector r with jrj y, P Q P Q r1 u1 def R def R r r2 S y u2 S C:240 r3 u3

EXAMPLE: If Constance gets an $80,000 mortgage on an $88,888 house, making a $8,888 down payment (10 percent), the f irst year, she ll pay $320 in mortgage insurance. In later years, she will pay 0.35 percent of the declining balance. And she ll keep paying 0.35 percent a year until she owes only 80 percent of the balance. That should take 11 years.

Release 1.0 of EJB required that entity (and session) bean methods throw a RemoteException. You may see bean method signatures that throw both RemoteException and EJBException. With newer EJB releases, all you need to throw is EJBException, although RemoteException may be present for backward compatibility with EJB 1.0.

16 A K Goel, Transit Times in the High-Density Interconnections on GaAs-Based VHSIC, IEE Proc, vol 135, pt I, no 5, pp 129 135, Oct 1988 17 A K Goel and Y R Huang, Ef cient Characterization of Multilevel Interconnections on the GaAs-Based VLSIC s, Microwave Opt Tech Lett, vol 1, no 7, pp 252 257, 1988 18 K W Goossen and R B Hammond, Modeling of Picosecond Pulse Propagation in Microstrip Interconnections on Integrated Circuits, IEEE Trans Microwave Theory Tech, vol 37, no 3, pp 469 478, Mar 1989 19 J A Davis and J D Meindl, Compact Distributed RLC Interconnect Models Part I: Single Line Transient, Time Delay and Overshoot Expressions, IEEE Trans Electron Devices, vol 47, no 11, pp 2068 2077, Nov 2000 20 J A Davis and J D.

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