Compute optimal consumption bundle, utility level, expenditure, and indirect utility for a consumer with Cobb-Douglas preferences U(x1, x2) = x1^alpha * x2^(1-alpha). Used in microeconomic analysis to determine consumer choice under budget constraints, analyze income and substitution effects, and derive demand functions.
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Preference parameter for good 1 (must be between 0 and 1). Represents the share of income spent on good 1.
0 <= x <= 10.6
Consumer's total income or budget
x >= 01000
Prices of the two goods [p1, p2]
2 elementsx >= 0[10, 5]