A simple economy has a shoe industry and a cattle industry. Each unit of shoe output requires inputs of 0.1 unit of shoes and 0.3 unit of cattle products. Each unit of cattle products output requires inputs of 0.1 unit of shoes and 0.05 unit of cattle products. (a) Write the technology matrix for this simple economy. (Use the first row and first column for shoes and the second row and second column for cattle products.) (b) If surpluses of 760 units of shoes and 205 units of cattle products are desired, find the gross production of each industry. shoes cattle products

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Chapter6: Linear Systems
Section6.3: Matrix Algebra
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A simple economy has a shoe industry and a cattle industry. Each unit of shoe output requires inputs of 0.1 unit of shoes and 0.3 unit of cattle products. Each unit of cattle
products output requires inputs of 0.1 unit of shoes and 0.05 unit of cattle products.
(a) Write the technology matrix for this simple economy. (Use the first row and first column for shoes and the second row and second column for cattle products.)
(b) If surpluses of 760 units of shoes and 205 units of cattle products are desired, find the gross production of each industry.
shoes
cattle products
Transcribed Image Text:A simple economy has a shoe industry and a cattle industry. Each unit of shoe output requires inputs of 0.1 unit of shoes and 0.3 unit of cattle products. Each unit of cattle products output requires inputs of 0.1 unit of shoes and 0.05 unit of cattle products. (a) Write the technology matrix for this simple economy. (Use the first row and first column for shoes and the second row and second column for cattle products.) (b) If surpluses of 760 units of shoes and 205 units of cattle products are desired, find the gross production of each industry. shoes cattle products
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