( 1 A ε K K K ) K ^ ( 1 + ε F K F ) F ^ A ε w K K w ^ K ε F K F P ^ F = 0 A ( a K K / 1 a K K )

(40)

( 1 + ε K L K ) K ^ + ε w L K w ^ K = g N

(41)

( 1 + ε F L F ) F ^ + ε w L F P ^ F L ^ F = 0

(42)

( θ K K ε K K K + θ L K ε K L K ) K ^ + ( θ K K ε w K K + θ L K ε w L K ) w ^ K + γ ^ K = 0

(43)

θ K F ε F K F F ^ + ( θ K F ε w K F + θ L F 1 ) P ^ F + γ ^ F = 0

(44)

ρ ^ K = R K γ ^ K ε K K K K ^ ε w K K w ^ K R K ( 1 / γ K 1 )

(45)

ρ ^ F = ( 1 ε w K F ) P ^ F + R F γ ^ F ε F K F F ^ R F ( 1 / γ F 1 )

(46)

ρ ^ K = ρ ^ F = 0

(47)