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 0.2 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.
(b) If surpluses of 850 units of shoes and 275 units of cattle products are desired, find the gross production of each industry?