Sett opp Lagrange for maxc,lu(c,l)\max_{c,l} u(c,l)maxc,lu(c,l) s.t. c=(1−τ)lc = (1-\tau)lc=(1−τ)l og utled FOB.
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L=u(c,l)−λ(c−(1−τ)l)\mathcal{L} = u(c,l) - \lambda(c-(1-\tau)l)L=u(c,l)−λ(c−(1−τ)l). FOB: uc=λu_c = \lambdauc=λ og ul=−λ(1−τ)u_l = -\lambda(1-\tau)ul=−λ(1−τ). Del: −ul/uc=1−τ-u_l/u_c = 1-\tau−ul/uc=1−τ.
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