There are 2 countries, D and F. There are 2 products X and Y. Each country has only a single input labor hours, Li j, where i is D for Domestic or F for Foreign and j is either X for Good X use of the labor or Y for Good Y use of labor. In country D: In country F: Xp = an*LD, x Yp = bp*LD, Y LD = LD, x+ LD, Y XF = ag*LF, X YF = be*LF, Y LF = LF, x + LF, Y At the moment: ap = 0.25, bp = 0.5, LD = 32, ar = 0.8, bE = 0.4, LF = 40. Each country is operating in autarky and has determined to divide its labor force equal between the production EX and Y. In Autarky find complete the following tables: 1. Find hours (amount of L.) in each country to produce 1 unit of each good. Hours to 1 unit Y D F 2. In D, what is the cost of 1 unit of X? X = |Y 3. In D, what is the cost ofl unit of Y? Y = 4. In F, what is the cost of 1 unit of X? X = Y 5. In F, what is the cost of 1 unit of Y? Y =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 24EQ: Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry...
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There are 2 countries, D and F. There are 2 products X and Y. Each country has only a single input labor hours, Li j, where i is D for
Domestic or F for Foreign and j is either X for Good X use of the labor or Y for Good Y use of labor.
In country D:
In country F:
Xp = an*LD, x
- bo*LD, Y
LD = LD, x + LD, Y
XF = ag*LF, X
YF = be*LF, Y
LF = LF, X + LF, Y
YD =
At the moment: ap = 0.25, bp = 0.5, LD = 32, aE = 0.8, br = 0.4, LF = 40. Each country is operating in autarky and has determined to
divide its labor force equal between the production of X and Y. In Autarky find complete the following tables:
1.
Find hours (amount of L;) in each country to produce 1 unit of each good.
Hours to 1 unit
Y
F
2. In D, what is the cost of 1 unit of X?
X=
Y
3.
In D, what is the cost ofl unit of Y?
Y =
4.
In F, what is the cost of 1 unit of X?
X =
Y
5. In F, what is the cost of 1 unit of Y?
Y =
Transcribed Image Text:There are 2 countries, D and F. There are 2 products X and Y. Each country has only a single input labor hours, Li j, where i is D for Domestic or F for Foreign and j is either X for Good X use of the labor or Y for Good Y use of labor. In country D: In country F: Xp = an*LD, x - bo*LD, Y LD = LD, x + LD, Y XF = ag*LF, X YF = be*LF, Y LF = LF, X + LF, Y YD = At the moment: ap = 0.25, bp = 0.5, LD = 32, aE = 0.8, br = 0.4, LF = 40. Each country is operating in autarky and has determined to divide its labor force equal between the production of X and Y. In Autarky find complete the following tables: 1. Find hours (amount of L;) in each country to produce 1 unit of each good. Hours to 1 unit Y F 2. In D, what is the cost of 1 unit of X? X= Y 3. In D, what is the cost ofl unit of Y? Y = 4. In F, what is the cost of 1 unit of X? X = Y 5. In F, what is the cost of 1 unit of Y? Y =
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