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Q.No.1. (a) The Government housing department decides to take on four projects of housing and the requirement of materials for each project housing is given as: Project 1 Project 2 Project 3 Project 4 Wood (in n+1 10,000 cub. ft.) 2 Dyes (in 100 n + 2 n + 3 n +1 n + 1 gallons) 2 2 n n n IN 2 n n n Stones (in n + 1 millions) 2 Workers in n + 6 n + 6 n - 5 n-4 1000 hours) If delivers supplies 7,600 gallons of Dyes. 16.300.300 cubic feet of wood. 94 million stones and 559,000 hours of workers. Find that how many houses are built for every project. Where n=1161. (4 points) (2 points) (b) For what values of a the system of equations have non-trivial solutions (n +2 - a)x + (n + 1)y = 0 (n+3)x + (n +4 - aby = 0 Where n=1. Answer: Q.No.1. (a) The Government housing department decides to take on four projects of housing and the requirement of materials for each project housing is given as: Project 1 Project 2 Project 3 Project 4 Wood (in n+1 10,000 cub. ft.) 2 Dyes (in 100 n + 2 n + 3 n +1 n + 1 gallons) 2 2 n n n IN 2 n n n Stones (in n + 1 millions) 2 Workers in n + 6 n + 6 n - 5 n-4 1000 hours) If delivers supplies 7,600 gallons of Dyes. 16.300.300 cubic feet of wood. 94 million stones and 559,000 hours of workers. Find that how many houses are built for every project. Where n=1161. (4 points) (2 points) (b) For what values of a the system of equations have non-trivial solutions (n +2 - a)x + (n + 1)y = 0 (n+3)x + (n +4 - aby = 0 Where n=1