This is a question about Microeconomics. Thank you so much the person who can he

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This is a question about Microeconomics. Thank you so much the person who can hepls me ( All information is here, no more)

1 2 1. Suppose that U(x, y, z) = xy iz a. Find the first order conditions for utility maximization. b. Use the first order conditions along with the budget constraint to find demand functions for x, y and z: x = x(Px, Py, P2, 1), y = y(Px, Py, Pz, 1), and z = z(Px, PY, Pz, 1). This notation means that a demand function should contain only income and prices and should not contain quantities of other goods. Note that while a demand function may contain prices of other goods, it is not required to. c. Verify that when Px = 1, PY= 2, Pz= 1, and 1 = 24, the bundle (4, 4, 12) satisfies the conditions you found for utility maximization. Then, verify that two nearby bundles that also exhaust income yield lower utility than (4, 4, 12). d. How could you be sure that the bundle (4, 4, 12) is the utility maximizing bundle and not a utility minimizing bundle or a local maximum? (Just explain in a sentence or two. No need to actually show this.)

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This is a question about Microeconomics. Thank you so much the person who can he

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