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Given the Utility Function:

=(₁, ₂), where (₁ , ₂ )=₁ ₂ʸ
(a) Derive the Marshallian Demand Equations.
(b) Derive the equation of Income – Consumption (I – C) curve.

User Rakka Rage
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Final answer:

The student's question on economics requires deriving the Marshallian Demand Equations and the Income-Consumption (I-C) curve, which illustrate optimal consumption choices based on utility maximization given a budget constraint and changes in income, respectively.

Step-by-step explanation:

The question involves deriving Marshallian Demand Equations and the Income-Consumption (I-C) curve from a given utility function. To find Marshallian Demand Equations, one must maximize utility subject to a budget constraint. This typically involves setting up a Varangian with the utility function and the budget constraint, then taking partial derivatives to find the optimal amounts of goods that maximize utility.

For the I-C curve, the equation summarizes how changes in income affect consumption choices, keeping prices constant. This is done by examining the budget constraint and how an increase in income shifts the constraint outwards, allowing for a new combination of goods that maximizes utility.

User Nealon
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