Suppose an economy consists of the Coal, Electric, and Steel sectors. Denote the prices (that is, dollar values) of the total annual outputs of the Coal, Electric, and Steel sectors by PC, PE, and ps, respectively. Suppose the general solution to find equilibrium prices that make each sector's income match its expenditures is Pc = 0.9Ps, PE = 0.94ps, and på is free. One set of equilibrium prices for this economy is pc = $90, PE = $94, and ps = $100. Find another set. Suppose the same economy used Japanese yen instead of dollars to measure the values of the various sector's output. Would this change the problem in any way? Discuss.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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Suppose an economy consists of the Coal, Electric, and Steel sectors. Denote the prices (that is, dollar values) of the
total annual outputs of the Coal, Electric, and Steel sectors by PC, PE, and på, respectively. Suppose the general
solution to find equilibrium prices that make each sector's income match its expenditures is pc = 0.9Ps, PE = 0.94ps,
and på is free. One set of equilibrium prices for this economy is pc = $90, P₁ = $94, and på = $100. Find another set.
Suppose the same economy used Japanese yen instead of dollars to measure the values of the various sector's output.
Would this change the problem in any way? Discuss.
If ps = $200, then pc = $ 249 and PE = $ 252. (Type integers or decimals.)
Transcribed Image Text:Suppose an economy consists of the Coal, Electric, and Steel sectors. Denote the prices (that is, dollar values) of the total annual outputs of the Coal, Electric, and Steel sectors by PC, PE, and på, respectively. Suppose the general solution to find equilibrium prices that make each sector's income match its expenditures is pc = 0.9Ps, PE = 0.94ps, and på is free. One set of equilibrium prices for this economy is pc = $90, P₁ = $94, and på = $100. Find another set. Suppose the same economy used Japanese yen instead of dollars to measure the values of the various sector's output. Would this change the problem in any way? Discuss. If ps = $200, then pc = $ 249 and PE = $ 252. (Type integers or decimals.)
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