A closed model for an economy has a manufacturing industry, utilities industry, and households industry. Each unit of manufacturing output uses 0.5 unit of manufacturing input, 0.4 unit of utilities input, and 0.1 unit of households input. Each unit of utilities output requires 0.4 unit of manufacturing input, 0.5 unit of utilities input, and 0.1 unit of households input. Each unit of household output requires 0.3 unit each of manufacturing and utilities input and 0.4 unit of households input.

(a) Write the technology matrix for this closed model of the economy.

(b) Find the gross production for each industry.

Problems refer to closed Leontief models?