A small manufacturer produces two kinds of good, A and B, for which demand exceeds capacity. The

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A small manufacturer produces two kinds of good, A and B, for which demand exceeds capacity. The production costs for each item of A and B are $6 and $3, respectively, and the corresponding selling prices are $7 and $4. In addition, transport costs are 20 cents and 30 cents for each good of type A and B, respectively. The conditions of a bank loan limit the manufacturer to maximum weekly production costs of $2700 and maximum weekly transport costs of $120. How should the manufacturer arrange production to maximise profit?

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