1. The IS/MP model assumes that the Fed sets the real interest rate at a given level Rt. Suppose the Fed adopts a monetary policy rule that instructs it how to change the real interest rate in response to short-run output. Let's call this a monetary policy rule (MPR): The parameter x is positive. Rt=+xY a) Redraw the IS/MP diagram replacing the MP curve with the MPR curve. Show how an aggregate demand shock affects output and interest rates in the short run. Use the IS and MPR equations to solve for the changes in output and the real interest rate. b) How does the change in a affect investment in the IS/MPR model? Explain how a tax cut affects short-run output and investment in this version of the short-run model. The effect on investment is called crowding out. c) Add the Phillips curve to complete the short-run model. Illustrate how the Fed's choice of large it makes reveals its trade off between inflation and output in the short run.

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Fems A and B are duopolist producers of widgets. The cost function for producing widgets C(Q)-Q² The market demand function for widgets i Q-192P Qmeasures thousands of widgets per year, Competition in the widget market is described by the Coumot model Instructions: Round your answers to 2 decimal places a What are the firms' Nanh equbrium output? b. What is the resulting price? c. What do they each emp How does the price compare to marginal cost? Price is ck to marginal cost How do the price and the two fems' joint profit compare to the monopoly price and prof Compared to the monopoly price, the Cournot price is to sed. Compared to the monopoly profit, the joint profit of the two fems to select