Technological progress, organizational change and the size of the Human Resources Department

From (19) we then have:

∂n

∂E

(1 - δ) (ξ

a)

aaAdλ ^ξ—a
kɪj

E (1-δ)(ξ-α)

L ξ-a

Zβ (1 - δ) (1 - βδ) ∖^ξea
к (1+ β - 2βδ)² )    •

and then:

∂n

∂L

and also:

∂n

∂A

•^(a (^ξ + ^θ) ^{- ξ}) ^ξ

—a

n

(an)^{a ξ} (a (ξ + n + θ) - ξ)

(1 - δ) (ξ

a)

aaAdλ ^ξ—a
kɪj

1 — ξ(1 — δ) — aδ

1—a

E ^(1—δ)(^ξ-a) L^ξ-a

β( (1 - δ)(1 - βδ) λ ■a

I (1+ β - ∙>.βδ)'ⁱ )

•^(a (^{ξ +} θ) ^{- ξ}) ^ξ

n

(an)^a—ξ (a (ξ + n + θ) - ξ)

a—ξ

ZaAd∖⅛
kɪj

E ^(1—й)(€^—a) L £—a

•^(a (^{ξ +} θ) ^{- ξ}) ^ξ

∕β (1 - δ)(1 - βδ) λ -

I (1+ β - 2ββ)² )

n

(an)^a—ξ (a (ξ + n + θ) - ξ)

a—ξ

aaAdλ ^ξ—a
kɪj

• ^(a (^{ξ + θ}) ^{- ξ}) ^ξ

aaAdλ ^ξ—a
kɪj

E (1— δ)(ξ — a) L ξ

• ^(a (^{ξ + θ}) ^{- ξ}) ^ξ

ZaAdλ
kɪj

ββ (1 - δ) (1 - βδ) ∖ ' a
I (1 + β - 2βδ)² ]

and finally:

∂n

∂d

n

(an)^{a ξ} (a (ξ + n + θ) - ξ)

ad _rπz - - , _r

— E^(1—^^)(c—a) L^c—a

-a

1—ξ + a

c—a

• ^(a (^{ξ + θ}) ^{- ξ}) ^ξ

a—ξ

_n

Zβ (1 - δ)(1 - βδ) ∖ ¹≡^a
к (1 + β - 2βδ)² )    •

n

(an) ~^ξ (a (ξ + n + θ) - ξ)

ad _rπz - - , _r

— E^(1—δ)(^ξ—a) L^ξ—a
ξ

∕β (1 - δ) (1 - βδ) ∖
к (1 + β - 2βδ)² )

n

(an) ~^ξ (a (ξ + n + θ) - ξ)

a—ξ

aaAd∖^ξ—a
kɪj

aA

• ^(a (^{ξ + θ}) ^{- ξ}) ^ξ

ZaAd ∖
kɪj

----E^{(1 — δ})(^ξ—a) L^ξ—a
ξ

ββ (1 - δ) (1 - βδ) ∖ ' a

I (1 + β - 2βδ)² ]

1—ξ + a

€—a

•^(a (^{ξ + θ}) ^{- ξ}) ^ξ

(an)^a—ξ (a (ξ + П + θ) - ξ)

aA

1-α

----E ^{(1 — δ})(^{ξ — a)} L ξ — a
ξ

a—ξ

∕β (1 - δ) (1 - βδ) ∖ —
к (1+ β - 2βδ)² )

(an)^a—ξ (a (ξ + n + θ) - ξ)

a —θ -r∣

a—ξ

34