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1. Consider a simple model in which two commodities, i = 1,2, are related to each other. The following equations define
Posted: Sun May 08, 2022 9:30 am
by answerhappygod
- 1 Consider A Simple Model In Which Two Commodities I 1 2 Are Related To Each Other The Following Equations Define 1 (65.46 KiB) Viewed 40 times
1. Consider a simple model in which two commodities, i = 1,2, are related to each other. The following equations define the corresponding demand/supply functions: Qd = a, + a P1 + a2P2; li = bo + b P1 + b2P2 Qq = a, + aPA + a2Pz; Q2 = Be + B, PA + B2P2 where Q defines quantity demanded for commodity i, Qi quantity supplied, Pi its price, and the remaining coefficients define exogenously given parameters. Assuming that both markets clear, i.e., general market equilibrium, then: = (a) By eliminating quantities using the market clearing condition that excess demand is equal to zero, i.e., Ed = Q - Q = 0 and EQ = Q - Q2 = 0, express the system of the remaining equations in matrix form and define each matrix. (4 marks) - (b) Describe the condition(s) needed in order for this system to have a unique non-trivial solution. (2 marks)