The company wants to maximize its profit, given by the profit function P=50⁢x+80⁢y , where x represents the number of chairs produced and y represents the number of tables produced. At which point is the maximum profit achieved?

Substitute each point into the profit function P = 50x + 80y. At (50, 10), the profit is 50(50) + 80(10) = 2,500 + 800 = 3,300, which is greater than the profits at the other listed points. Therefore, the maximum profit is achieved at (50, 10).

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