A manufacturer produces two types of products (x and y) and must decide how many it should produce to sell in two different market segments. Suppose its profit func- tion (in hundred pesos) is defined by P(x, y) = 20x + 40y –0.5x² – y² and the total output is equal to 25. Use the method of Lagrange multipliers to find the values of x and y that maximizes profit and then find the maximum profit.

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A: R(q) = 2q3 +36qC(q) = 3q2 −10Profit, P(q) = R(q) - C(q) = 2q3 +36q - (3q2 −10) = 2q3 - 3q2 +…

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A: Consider the provided question, (3)

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A: According  to guidelines  we solve one question. Thanku

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Q: A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is…

A: