Question: An individual's utility function is represented by:U = X1 ^ 0.9 * X2 ^ 0.1 Their budget constraint is: 10,000 = 2X1 + 5X2 That

An individual's utility function is represented by:U = X1 ^ 0.9 * X2 ^ 0.1

Their budget constraint is: 10,000 = 2X1 + 5X2

That is, their total budget is $10,000 and the price of X₁is $2 and the price of X₂is $5. Use the Lagrangian function to find the optimal values of X₁and X₂that maximises utility subject to the budget constraint^[1]. What is the value of l and what is its interpretation?

^[1]There is no need to check the second order conditions.

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