Consider an economy divided into an agricultural sector (A) and an indus- trial sector (I). To produce one unit in sector A requires 1/4 unit from A and 1/4 unit from I. To produce one unit in sector I requires 1/6 unit from A and 1/4 unit from I. Suppose that final demands are 100 units of out put from sector A and 80 units of output from sector I. (a) this economy. (b) Find the number of units that has to be produced in each sector in order to meet the specified final demands. Write down the equation system for

Essentials of Economics (MindTap Course List)
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Chapter17: Production And Growth
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7. This question is about Matrix Application
Consider an economy divided into an agricultural sector (A) and an indus-
trial sector (I). To produce one unit in sector A requires 1/4 unit from A and
1/4 unit from I. To produce one unit in sector I requires 1/6 unit from A and
1/4 unit from I. Suppose that final demands are 100 units of output from sector
A and 80 units of output from sector I. (a) Write down the equation system for
this economy. (b) Find the number of units that has to be produced in each
sector in order to meet the specified final demands.
Transcribed Image Text:7. This question is about Matrix Application Consider an economy divided into an agricultural sector (A) and an indus- trial sector (I). To produce one unit in sector A requires 1/4 unit from A and 1/4 unit from I. To produce one unit in sector I requires 1/6 unit from A and 1/4 unit from I. Suppose that final demands are 100 units of output from sector A and 80 units of output from sector I. (a) Write down the equation system for this economy. (b) Find the number of units that has to be produced in each sector in order to meet the specified final demands.
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