dLu/ dWr = 1/D (((L -Lr) - Lu(dWu /dWr))(ki -kr) + (Lu dku /dWr +Li dki/dWr
+Lr(dkr∕dWr))(Wi -Wr) - (Wikr -Wrki) dU/dWr) > ,=,< 0
dLi/dWr = 1/D ((( -Lu(dku/dWr) + Li(dki/dWr) +Lr(dkr/dWr) (Wu -Wr) + (Wukr -
Wrku) (dU/dWr) -((L -Lr) -Lu(dWu /dWr)) (ku -kr )) > ,=, < 0
And (dLr/dWr) = 1/D((( (L - Lr) - Lu( dWu/dWr)) (ku -kr) + (Lu(dku/dWr) +
Li(dki/dWr) + Lr(dkr/dWr)) (Wu -Wi) +(Wiku -Wuki) dU/dWr ) >, =, < 0
Now, (dLj/dPi) = (dLj/dWr) (dWr/dPi) for j = u,i and r.
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