A furniture manufacturer produces small sofas, large sofas, and chairs. The profits per item are, respectively, $60, $60, and $50. The pieces of furniture require the following numbers of labor-hours for their manufacture:

The following amounts of labor are available per month: carpentry, at most 1200 hours; upholstery, at most 3000 hours; and finishing, at most 1800 hours. How many each of small sofas, large sofas, and chairs should be manufactured to maximize the profit?

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Upholstery | Finishing Carpentry 10 Small sofas Large sofas 30 20 30 10 10 10 Chairs 10