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



From (20) we get:

∂w

^∂E


α(l-ξ)           (adi-a ξ ɑ(ɪ-g)__1 ɑ(i-g) / ∕3 (1 - 5) (1 - ∕35)∖ «

---+ ,ʌ . l-α — At-aE 1L t~a n-ʌ----'-÷---Я
(l-5)(ξ-α)k
jξJ                    к (1 + /3 -2Я) J

ξ-a(ξjrθ')        aη                            α(ξ+η + 0)-ξ

• (α (ξ + θ) — ξ) t~a (aη)a~t (α (ξ + η + θ) — ξ)         =

α (I-A)     ,       . f ad . ξ , a(2-⅞-⅜)-⅞(i-⅜) ɑ(:

-t) I β (1 — 5) (1 — βδ) i~a
к (1+ /3-2/35)2 J


—---777-----r (1 — a) I — I At-aE (1-'W-α=) L t

(l-5)(ξ-a)k jξJ
ξ-a(ξ + θ)       aη                          a(ξ+η + 0)

∙(a(ξ + 6l)- ξ) i-a (μη)a~t (a (ξ + η + θ) — ξ) t-<*

and then:

∂w

^∂L


, ξ <*(l-ξ)      t*(l-ξ)

At-a E <1-δ×t-a'> L i-a


a(l —ξ)

1 (∕3(ι - 5) (ι -Як ξ-a
к (1+/3-2/35)2
J

ξ-a(ξ + 0)        art                            a(ξ+η + 0)-ξ

∙(a(ξ + 6,)- ξ) i-a (μη)a~t (a (ξ + η + θ) — ξ) t^a =

j ɪ O=(I-C)    a(2-ξ)-ξ

√4c~a≈ F∕(ι-'5)(ξ-°≈) + ξ-a!

•(« (ξ + θ')~ξ')

ξ-a(ξ+^)
ξ-a


р(1-5)(1-Я\
к (1+/3- 2/35)2
J


<*(l-ξ)
ξ-O!


(aη)a-i {a{ξ + η + θ) - ξ)


a(,ξ+-η + θ)-ζ
ξ-O!


and also:

∂w

∂A




i-i--ι a(1-i) . ɑ(ɪ-e)

Ai-°t E(1—<5)(€—α=) L i-a

ξ-α(ξ+0)
ξ-α


/∕3 (1-5)(1-Як
к (1+ /3-2/35)2
J


∙(α (e + 0)-O


(aη)a-i {a{ξ + η + θ) - ξ)


a(,ξ+-η + ff)-ζ
ξ-O!




, a t*(1-ξ)

Ai-a F/(1-,5)(€-“)

ξ-a(ξ+^)
ξ-a


, <*(l-ξ)
L i-a


p (1-5)(1-Як
к (1+ /3-2/35)2 )


ξ-O!


•(« (ξ+θ')~ξ')


(aη)a-i {a{ξ + η + θ) - ξ)


a(,ξ+-η + ff)-ζ
ξ-O!


and finally:

∂w
∂d


a __ɪ                                                                                         c⅛(-

о /d , βadi-a a λ ς ι,r ≈(i-⅞) - ɑ(ɪ-g) //3 (1 — 5) (1 — /35) ∖ ~

----(l-α) — Ai-aE<ι-δ×t-^L i-a---ʌʌ---Я

к < J ξ                 к (1 + /3-2Я J

ξ-a(ξ + θ)        aη                            α(ξ+jj + 0)-ξ

∙(α(ξ + 6,)- ξ) i-a (aη)a-i (о (ξ + η + θ) — ξ) i^a =


ξ-θ!


2a-ζ


. €        α(1 -¢)

Ai-a E<1-δ∕⅛-≈)


р (1-5)(1-Як
к (1 + /3-2Я2
J


•(« (ξ + θ)-ξ)


ξ-α(ξ+^)
ξ-a


(aη)^i (a(ξ + η + θ)-ξ)


a(,ξ+-η + θ)-ζ
ξ-O!


35




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