A manufacturing company has three production lines: Line A, Line B, and Line C,
which produce three types of products: P1, P2, and P3. The daily production capacity
for Line A is 3 units of P1, 2 units of P2, and 1 unit of P3 per day. For Line B, the daily
production is 2 units of P1, 1 unit of P2 and 2 units of P3. While Line C produces 1 unit
of P1, 3 units of P2 and 2 units of P3 daily. With the production demand of 430 units,
340 units and 370 units for each product, determine the number of days each
production line (Line A, Line B and Line C) should operate to meet the production
demand. Use the Gauss-Jordan elimination method to solve this.
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