Suppose that a firm produces three outputs y 1 , y 2 , and y 3 , with three inputs z 1 , z 2 , and z 3 . The input-requirements matrix is given by A [ 1 0 5; 1 1 0; 3 2 6], If the firm wants to produce 5 units of y 1 , 5 units of y 2 , and 10 units of y 3 , how much of z 1 , z 2 , and z 3 will it require?