2. An economist is interested in the variation of the price of a single product. It is observed that a high price for the product in the market attracts more suppliers. However, increasing the quantity of the product supplied tends to drive the price down. Over time, there is an interaction between the price and supply. The economist has proposed the following mode, where Pn represents the price of the product at year n, and Qn the quantity: [Pn+1 = Pn -0.1 (Qn - 500) [n+1 = 2n +0.2 (Pn - 100) (a) Explain the significance of the constants 500 and 100 in the proposed equation. (b) Explain the significance of the signs of the constants -0.1 and 0.2. (c) Simulate the system using the following initial conditions (plot the trajectories) and predict the long term behavior of the dynamical system. • Po= 100 and Qo = 500 • Po= 200 and Qo = 500 Po 100 and Qo= 600 90 and Qo = 400 Po =

2. An economist is interested in the variation of the price of a single product. It is observed that a high price for the product in the market attracts more suppliers. However, increasing the quantity of the product supplied tends to drive the price down. Over time, there is an interaction between the price and supply. The economist has proposed the following mode, where Pn represents the price of the product at year n, and Qn the quantity: [Pn+1 = Pn -0.1 (Qn - 500) [n+1 = 2n +0.2 (Pn - 100) (a) Explain the significance of the constants 500 and 100 in the proposed equation. (b) Explain the significance of the signs of the constants -0.1 and 0.2. (c) Simulate the system using the following initial conditions (plot the trajectories) and predict the long term behavior of the dynamical system. • Po= 100 and Qo = 500 • Po= 200 and Qo = 500 Po 100 and Qo= 600 90 and Qo = 400 Po =

Survey Of Economics

10th Edition

ISBN:9781337111522

Author:Tucker, Irvin B.

Publisher:Tucker, Irvin B.

Chapter1: Introducing The Economic Way Of Thinking

Section1.A: Applying Graphs To Economics

Problem 2SQP

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