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



From (21) we have:


∂c
∂E


ξ (1 - a)

(1 - δ) (ξ - α)


a                                                                             ¢(1 a)

∕dd ~ л ξ    ¢(1-a) _1 ¢(1-") ∕β (1 δ)(1 βδ)∖ —

— A■ E (1-δ)(ξ-a) 1L ξ         ------—----'

U J                       к (1 + β — 2βδ)2 J

(a (ξ + θ) - ξ)


g(ξ+ff)-ξ


αη

(αη)a- (α (ξ + η + θ) - ξ)


α(ξ+η+θ)-ξ


ξ-a


" a "

(αd ξ-a

ш


ξ      a(l -ξ) + δ(ξ -a)    ¢(1-")

Aξ-a E (1-δXξ-a)  L ξ-a

¢(1 a)

μ β (1 δ) (1 - βδ) λ ξ a

I (1 + β — 2βδ)2 )

"(¢ + 0) ξ         

α(ξ+n + θ)-ξ


(α (ξ + θ) ξ) a-ξ (αη)a-ξ (α (ξ + η + θ) ξ)

ξ-a


and then:

∂c
∂L


ξ (1 a) ξα
------------------------------------- . -----------------------


" a ɪ

(αd ξ-a

ш


. ξ        ξ(1-a)      ¢(1-a) _1

Aξ-a E(1δ)(ξ-a) L ξ-a


(β (1 δ)(1
I (1 + β 2βδ)


_


¢(1-a)
∖  ¢-a


a(C+£2-€                                    "(¢+^ + 0) -¢

(α (ξ + θ) ξ) "- (αη)"- (α (ξ + П + θ) ξ)   ,e"    =

. ¢       ¢(1-a)     "(W)

A¢-" E (1-5)^-a) L ¢-"


( β (1 δ)(1 βδ) ∖ ⅛"2

I (1 + β2βδ)2 )

"(¢+0) -¢                                       a(€+n + ^)-

(α (ξ + θ) ξ) a- (αη)"- (α (ξ + η + θ) ξ)   ^a

and also:

∂c
∂A


a ,∖ ɪ
α αd ¢-ɑ

ш


. _1      ^1-a)      ⅞(1-a)

At' a   E(1--a) L t' a


8β (1 δ) (1 βδ)
I (1 + β2βδ)2


¢(1-a)
- - a


a(C+£)-C        aη                            "^+п + ^) -¢

(α (ξ + θ) ξ) "- (αη) "- (α (ξ + η + θ) ξ)   ^"

a        ¢(1 -a)      ¢(1-")

A¢-" E(1-δ)(¢-a) L ¢-"


ββ (1 δ) (1
к (1 + β 2βδ)


_

ъ1


¢(1-")
ʌ ¢-"


"(¢ + 0) -¢         aη                                "(¢+^ + 0) -¢

(α (ξ + θ) ξ) "- (αη) "- (α (ξ + П + θ) ξ)   ^"

and finally:

∂c
∂d


-1


α i ɪ ..  ¢(1-") τ

—A ¢-" E x-'XW-") L
ξ


¢(1-")
¢-"


μβ (1 δ) (1 βδ) ∖ ⅛""2
1 (1+ β
2βδ)2 )


"(¢ + 0) -¢         aη

(α (ξ + θ) ξ) "- (αη) "- (α (ξ + П + θ) ξ)


ɑ(¢+η+θ)-¢


¢-"


2a-¢
α2 α adʌ ^"
ё Ш


; ξ(1-a)      ξ(1 -a)

A¢-a E (1-δ)K-" L ¢-a


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


"(¢ + 0) -¢         aη

(α (ξ + θ) ξ) "- (αη) "- (α (ξ + П + θ) ξ)


a(¢+η+θ)-¢


¢-"


36




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