∂L/∂x = 1 - 2λ = 0 ∂L/∂y = 2 - λ = 0 ∂L/∂λ = 2x + y - 100 = 0
u(x, y) = x + 2y
| | b1 | b2 | | --- | --- | --- | | a1 | 2, 3 | 1, 2 | | a2 | 3, 1 | 2, 2 |
Suppose that a consumer has preferences over two goods, x and y, represented by the utility function:
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The first-order conditions are: