Question: How do I formulate the constrained optimization in this question? Why is most productive activity carried out by firms, rather than simply by individuals who

How do I formulate the constrained optimization in this question?

Why is most productive activity carried out by firms, rather than simply by individuals who contract mutually with one another? (I'm looking for 5 reasons why firms exist. )Suppose that a consumer consumes two goods, 3: and y and has a utility function U = my. She has a budget of $400 and P3 = $10 and Py = $20. Find the consumer's optimal consumption bundle (at, y). (I'm looking to see if you can do it without any additional instruction on the intermediate steps.)

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