Question: (2 points) A person's utility function is given by U(x, y, z) = 10xyz, where x, y, z denote then number of units of three

(2 points) A person's utility function is given by U(x, y, z) = 10xyz, where x, y, z denote then number of units of three commodities X, Y, and Z that the person consumes. The pricesr per unit of X, Y, and Z are 7 euro, 4 euro, and 2 euro respectively. If ther person has a budget of 1344 euro, the person's utility is maximised when they consume units of X, units of Y, and units of Z. The person's maximum utility is If the person's budget is increased to 1345 euro, then using the method of lagrange multipliers we find that the maximum utility is approximately

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