:
;
;
;
, .
.
2.1. : TU = 5X ½X².
:
, TU X. y = ƒ(x).
, MU = ∆TU / ∆Q, ∆x → 0. (y') dy / dx. , .
MU = (TU)' = (5X ½X²)' = 5 .
: MU(x) = 5 -
2.2. :
1) TU(x) = √x; 4) MU(x) = 1 / x;
2) MU(x) = 5 x; 5) MU(x, y) = 45 + x y;
3) TU(x, y) = x y; 6) TU(x) = 2x?
:
2.1, , : 1, 2, 4.
: 1; 2; 4.
2.3. 10 . 5 . , 100 ?
:
: 100 / 10 = MU(B) / 5. , MU(B) = 50.
: 50.
2.4. 2 141 1 4 12 . ?
:
:
MRS, x = | - / + | = MUx / MU = / ,
;
x ;
MUx; MU .
MRSc, x .
Pc = 141, a Px = 12, MRSc, x = 12 / 141.
: 12 / 141.
2.5. 100 . 5 , - 2 . , TU(,)=10XY, Y .
:
) :
100 = 5 + 2Y;
) : MU(x) / MU(y) = Px / Py;
) :
TU(x, y)x = MU(x) = 10Y;
TU(x, y)y = MU(y) = 10X.
) , . :
5 + 2Y = 100,
10Y / 10 = 5 / 2.
:
= 10, Y = 25, .. 10 25 .