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Green Paper Company produces three types of paper: computer paper, writing paper and brown paper. Each requires different amounts of wood, chlorine and labour to produce. The required amounts to produce a kg batch of paper are shown in the table below. There is a limit on the amounts of labour and wood available each day, and the amount of chlorine is limited by environmental regulations. The limits are also shown in the table, as are the net profits per kg for each type of paper.
Define , and to be the number of batches of computer paper, writing paper and brown paper produced respectively. The system of inequalities that describes the company's production constraints is