2) A firm produces two goods 𝑥 and 𝑦. Its revenue and cost functions are given as
𝑅 = 15𝑥 + 9𝑦 and 𝐶 = 0.04𝑥
2 + 0.01𝑥𝑦 + 0.01𝑦
2 + 4𝑥 + 2𝑦 + 500
Optimize the profit function of the firm
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