<Dl> <Dd> ∑ i = 1 L α i = 1 (\ displaystyle \ sum _ (i = 1) ^ (L) \ alpha _ (i) = 1) </Dd> </Dl> <Dd> ∑ i = 1 L α i = 1 (\ displaystyle \ sum _ (i = 1) ^ (L) \ alpha _ (i) = 1) </Dd> <P> The optimal solution is then: </P> <Dl> <Dd> ∀ j: x j ⋆ = w α j p j . (\ displaystyle \ forall j: \ qquad x_ (j) ^ (\ star) = (\ frac (w \ alpha _ (j)) (p_ (j))).) </Dd> </Dl>

Cobb–douglas function exhibits constant returns to scale