, (), :
;
;
;
, .
. .
2.7.7. 1000 .
10% , , 0.6, 0.4.
100 ., 0×0.6+1000×0.4=400 .
, , . , , . , , , 100 . , , 1000 . , . , .
, - . . . , , ( ) , , .
U(x) .
1. (min) (xmax) (, U(xmin)=0 U(xmax)=100). 0 100.
2. : v, min xmax, , xmax (1 ) min. , v . 0.
U(v)= 0U(xmax)+ (1 0)U(xmin).
, v.
(. 2.7.1).
U U U
. 2.7.1. , (), (), ().
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xmin= 1000, xmax =1000. U(xmin)=0 U(xmax)=100. v=100. ( ) ( 1000 1000 (1 )) 100 . , 0.8, 0=0.8 U(100)=0.8×100+0.2×0 =80.
80, 0.6×0+0.4×100=40, () . , , - , .