Compute optimal consumption bundle and utility for a consumer with Constant Elasticity of Substitution (CES) preferences. CES utility allows for varying degrees of substitutability between goods, from perfect substitutes to Leontief (perfect complements). Used in production theory, international trade models, and when goods have non-unit elasticity of substitution.
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Substitution parameter (rho = (sigma-1)/sigma where sigma is elasticity of substitution). rho < 1 for substitutes, rho = 0 for Cobb-Douglas, rho → -∞ for Leontief.
-0.5
Share parameters for the two goods [w1, w2]
2 elementsx >= 0[0.5, 0.5]Consumer's total income or budget
x >= 01000
Prices of the two goods [p1, p2]
2 elementsx >= 0[10, 5]