The company wants to minimize its production cost, given by the cost function C=30⁢x+50⁢y , where x represents the number of chairs produced and y represents the number of tables produced. At which point is the minimum cost achieved?

Substitute each point into the cost function C = 30x + 50y. At (10, 5), the cost is 30(10) + 50(5) = 300 + 250 = 550. The other choices have costs of $2,000, $1,900, and $2,000, so the minimum cost is achieved at (10, 5).

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