QUESTION THREE A. A company manufactures three goods, X; Y and Z, each of which is made from three types of input, A; B and C. Each unit of X requires 1 unit of A, 7 units of B and 3 units of C. Each unit of Y requires 4 units of A, 3 units of B and 1 unit of C. Furthermore, one unit of Z requires 2 units of A, 4 units of B and 2 units of C. In a particular day's production the company uses up 105 units of A, 135 units of B and 55 units of C. i. ii. Create an augmented matrix to represent the usage of A; B and C in the day's production of x; y and z units of X; Y and Z respectively. Using Row reduction method, determine the values of x; y and z.

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