# Algebra 1. The Leontief matrix for a 3 sector economy (agriculture, manufactur ing, transportation, respectively) is 20 A=1.3 .4 .5 The production vector is x = 130 10 (a) Calculate the number of uni...

Algebra 1. The Leontief matrix for a 3 sector economy (agriculture, manufactur ing, transportation, respectively) is 20 A=1.3 .4 .5 The production vector is x = 130 10 (a) Calculate the number of units of agricultural, manufacturing and transportation goods which are required to make production x (that is, calculate the inputs of the production) (b) Hence calculate the corresponding demand vector d. aij] for an economy based 2. The input-output (Leontief) matrix A on tourism and mineral products is 0.2 0.4 0.5 0.2 where tourism corresponds to subscript 1 and minerals corresponds to subscript 2 (a) Write down (I-A)-1 (b) We aim to meet a demand for 1000 units of tourism and 600 units for minerals. Set a suitable level of production (to the nearest whole number) (c) Suppose that mineral production is capped at 600 units. What is the greatest demand for minerals that can be met?

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