( ) () . - , . , , . , , . , , , . , , , . .
5) ϳ 140 . ., 20 . ., 50 . . -20 , 10 . 5 . . 1 , . 20 . . : , , .
-140 .
-20 .
-50 .
20
-10
-5 .
-
-20
--?\ -? -?
=140+20+50+5=215
210/215=0.98
140/20+50/10+5*12+20*4=152 .-
152/20=7.6 .
1) , 80000 ., 40 . ³ 12%, 8%. , 65000 .
80000 ., 40
³ 12%, 8%.
65000 . -?
. - , . , .
= + + %
= 80000/40 =2000 .
% = 80000* 0,12 = 9600 .
( , , .)
65000 = + 2000 +9600
= 53400 .
2) 60 . ., 40 . ., 2 . . 20 , 5 . .
|
|
-60 .
-40
-2
-20
-5
-?
=60+40+2=102
60/20+40/5=3+8=11
102/11=9.3-1
3) ֳ 12 . ʳ 3 . . 3 . 2 . 12 . . . , , , ?
ֳ . =12 . ʳ . = 3 . .
(AFC) 2 .
12 .
-?
AFC=FC/Q - ,
2=FC/3000
FC= 6000 -, ᒺ
AVC= VC/Q
3= VC/3000
VC = 9000 () -, ᒺ
= 12*3000= 3600
= 3600-9000=27000 . ().
= 36000-(9000+6000)= 36000 15000= 21000 . , , , . .
(FC) , . , c ( , ), , . ' , , . (VC) , . , , , , . ( ) ; , , , , .
4) ? ?
: , , . . , , . , , , , .³ . , , . . ³ . , .
|
|
5) ϳ . 60 . ., 10 . . 2:1. 300%.
) , , ?
) , , 20%?
) , , 200%, ?
- 60
10
2:1
m'=300%
)C;V =2;1
V =35
=60+ 10 + 70
m = m' *V/100%
m = 105
)105 - 100%
-20%
=21
= 126
)
m = 200* 35/ 100 = 70
1) , 15%, 18%, 8%.
15%,
V 18%,
Q 8%.
(Ip) -?
Գ
M * V = P *Q
, M, V, P,Q = 100%,
Im=100+15=115%
Iv = 100+18=118%
Iq = 100 -8 =92%
Ip =Im *Iv/Iq
Ip =115% * 118% / 92% = 147,5%
47,5%
2) 200 . .. 4:1. 300%. .
=200 ..
= 4:1
- 300%
W -?
-?
/V =4:1
200000 =4V
V =50000 .
:
300% = m/50 *100%
m= 150 ..
- , , . W = C+V +m W = 200+50+150 = 400 ..
, , .
= m/V *100%
=150/50*100% = 300000.
3) 42 . ., 500 . . 볺. 520 . . ϳ 16% 10%. , 3 . . ?
42 . .
볺 500 ..
520 ..
16% 10%
3000.
-?
.
520 . * 0,16 =83,2 .. 500* 0,1 =50 ..
=% - % = 83,2 -50 =33,2 ..
|
|
= ( )/ *100%
=33,2/42*100% = 79 ..
4) , ? ( )? ( ). ( ).
( ) ?
, . , , - , , , , . , , , , , , . ֲ , . , , - , . () . . '. ', (, ), () , .
5) ( ) ?
I 5200 + 3000v + 2400m = 10600;
II 5400 + 2000v + 1800m = 9200.
, . ?
I 5200C + 3000V +2400m = 10600W
II 5400C + 2000V + 1800m = 9200W
³ , , :
IV = IC+IIC 10600=5200+5400=10600
IIV = I(V+m) + II(V+m) 9200=5400 +3800 =9200
I(V+m) = IIC 5400=5400
10600 -5200=5400. ,
9200-1800-2000 = 54000.- ,
5400 .
1) , 70 . . 6 . . , 310 . . 㳿 15 . . , 500 . . 28 . . . ( ), ? , ?
- ( ) , . , . , , , .
|
|
70 . , 6 .
310 ., 15 .
500..,-28 .
= / + *100% (- , )
6000/70000*100% =8,6 . -
15000/310000*100% = 4,8 . -
28000/500000*100% = 5,6 . -.
2) 5 , 8 , 10 . 2008 2,80 /, 25 /, 4 /. 30%. , 4 . , 40 , 6 .
5 2,8 / : 4 /
8 25 / 65 /
10 4 / 6 /
. 30%
. -?
- , , .
: 5*2,8 +25*8 +10*4 =14+200+40 = 254 .
: 5*4 + 8*65 +10*6 = 20+520+60 = 600 .
254 100%
600 %
= 24%, 24%
:
= 30% / 24%*100% = 125%, . 25%
3) : Qd=408, : Qs= 6 + 22.
:
) ;
) ;
) ( ), 5 .? .
) ( ), 1 .? .
Qd = 40 8p
Qs = 6+22p-
)в ֲ , ' ' .
40 8p = 6+22p
34 = 30
= 1,13 -
)Qd = 40 -8*1,13 = 40 -9,04 =30,96 - -' .
) = 5
Qd= 40 -8*5=0-
Qs=6+22*5= 116-
116
) = 1
Qd = 40-8
Qs = 6+22 =28
4
4) , ? , ? ? ?
(), .
, . . . , , , , .
, - .
, , - . - , .
. . , , .
, , , . .
. .
, . , . , .
|
|
,
5) ϳ 340 . ., 80 . . 20:1. 1 , . 26 . : , , .
= 340 + 80 .
20:1
1 .
.. 26
1.
-? -? 1 . -?
= 340+80 = 440 ..
/ V = 20/1
20V = 440 V = 22.
= 440+22 = 462.
440 / 26 =16,9 . -
= 80*2 = 160 .
V = 22 *12= 264 . -
16,9+160+264 = 440,9 . -
1) 45 ., 16 . , , , 85 .
= 45
AFC =16 . 85 .
TC( ) -?AVC( ) -? FC() -?
ATC = TC / Q
45 = TC /85 TC = 3825 .
AFC = FC / Q
16 =FC / 85 FC = 1360 .-, , , , .
TC = FC+VC 3825 = 1360 +VC
VC =2465 . , .
AVC = VC /Q
AVC = 2465 / 85 = 29 . - - , , .
2) 8 . 64 . . . , 25 ? ? ?
8
. =64 .
-? 25 .
8*25 = 200 .
200 / 64 = 3,125 . -
³ = 1 . *
. =3,125 *200 =625 .
: . . : 1) ; 2) , ; 3) , . . , -, : , , , . ³ , , . . .
3) 75 . 22%.
) , , 10%, 45%? ) , ?
= 75 . -100%
22 %
V 10%
Q 45%
) M = 122%
V=110%
P = 100%
Q =145%
P = M*V/Q
P=122*110/145 = 92,5% 7,5%, , , .
)75 . - 100%
. - 92,5%
= 69,4 . - .
4) , ᒺ II. II. ?
, , . II. , , , . , ( ; ) . (, , ) . , , , , . , , , , , . . , .
II, , , . , , . II , . , . , , . . , , , . , , ֳ , , II.
5) 690 ., 900 . 780 ., 950 . 1000 ., 1200 . 850 ., 990 . . :
) ( )?
) ? ?
. 690 .
900 .
780 .
950 .
2 :
. 1000.
1200.
- 850 .
990.
) . :
: 1000 / 690*100% =144,9%
: 1200 / 900* 100% =133,3%
. 11,7%
) :
: 850 / 780*100% =108,9%
: 990 / 950*100% = 104,2%
.:
.= / *100%
: 144,9 / 108,9 *100% =133%
: 133,3 / 104,2 *100% =127,9%
. 5,1% .
1) 20 %. , , 18%.
. 20%
18%
. -?
- , . :
100% + 20% =120%
ֳ: 100% -18% = 82%
120 / 82 *100% = 146,3%
, . 46,3%
2) 22000 . . , 90000 . 20 . г 8, 10%
- 22000 .
= 90000 20
% 8%
10%
-? -?
90000 / 20 = 4500 - - , .
- , .
= + + %
: 90000*0,1 = 9000 .
22000 = +4500 +9000
= 8500
ֳ - , . :
ֳ = / % *100%
ֳ = 8500 / 10 *100% = 85 000 .
3) : , , ( ).
.: 2005 2400
2009 3200
. 2005 2000
2009 2500 .
, . -? -?
. = 3200 / 2400 *100% = 133,3% 2005 2009 33,3%
= 2500 / 2000*100% = 125% 25%
. = . / *100%
= 133,3 / 125 *100% = 106, 6%
6,6%
4) , ( )? .
́ , ' . . , . , ; ; . .
́ ́ , (). ( ) , .
=
m( ) = W() (C( )+V( ))
5) : ) ; ) , ) , , 3 .
) - - .
= 50*18+ 110*12 +45*17 / 50+110 +45 = 900+ 1320+765 / 205 = 2985 / 205 = 14,6
) , -
14,6* 3 = 43,8
) , :
1 : 18*3 = 54
2 : 12*3 = 36
3 : 17*3 = 51 .
(+),(-) :
1 : 43,8 - 50 = -10,2 * 50 = 510 -
2 : 43,8 36 = +7,8 * 110.= 858 . -
3 : 43,8 51 = - 7,2 *45 = 324
16
1) 790 ., 540 . , 55 .
TC = 790 .
VC = 540 .
AFC =?
Q = 55 .
.
AFC = FC/Q
, FC ( ) TC=FC+VC
FC=TC-VC
FC=790-540=250 (.)
,
AFC = 250/55 = 4,5
2) : 105 . , ( ) 80 . , 72 . , 4%, 10 . .
. 105 .
. 80 .
. 72 .
4 %
10 .
= ( / ) * 100%
= 80. 72 . = 8 .
= (8 . / 80 .) * 100% = 10%
= 10 % - 4 % = 6 %
3) 40 . . 15 . . , 10 . . . 2 . . ?
= 40 ..
= 15 .
. . = 10 .
=?
= / *100%
= (10 .. / 55 ..)*100% = 18%
, .
4) : , ? , ?
- . . , - ( ). . , . , . , , : , , . . , , , . , , : , . , , (, , , , , ), , ' , ', . (, , ). :-, , ';, ( );, , ( ).г . : , , ; , .
5)
, , . 72 . . 12 .
) 2 ?
= /
1) = 72 .. / 12 = 6 ..
2) 6 . * 2 = 12 .. 10
) , 8% , 6%?
) 8 , 1,5 , ?
1) = 72 .. / 12 = 6 ..
2) (6 . * 8 ) * 1,5 = 72 . 8 1.5 .
17
1) 800 .., 20 . , 30 .
AVC = 20 .
TC = 800 . .
Q = 30 ..
г
AVC=VC/ Q
20 = VC / 30 ..
VC
VC = 20 . * 30 ..= 600 . .
TC = FC + VC
800 . . = 600 . . + FC
FC
FC = 800 . . - 600 . . = 200 .
2) 440 . . 100 . . 40 .. , , 10 . .
=( )/(.+)*100%
. =40-10/440+110*100%=5.45%
3) 8
120
1 30
, 200 . ?
1 = 120 / 8 = 15 .
1 30 . 1 /
15 / 30 . = 0.5
, 200
200 * 0.5 = 100
³
4) , ?
, , , .
, :
, ;
ᒺ , ( , , );
, / ;
(, ), , ', .;
, , , ;
: .
5) . 15 , 12 , 8 . 1 10 ,18 , 20 . 15%, 10%, 450 .
) , 1 3 ? , , ?
)
1 15 .
2 12.
3 8.
1 . 10 ., 18., 20.,
% 15 %, 10 %
450 .
) , 1 3 ? , , ?
1
15. * 10 = 150
150 * 3 = 450 .
2
12 . * 18 = 216
216 * 3 = 648
3
8. * 20 = 160
160 * 3 = 480
ֳ = (/ %) * 100%
ֳ = (450/ 15 %) * 100% = 3000
1
450 + 45 = 495
2
648 + 64,8 = 712,8
3
480+48 = 528
)
ֳ = (/ %) * 100%
ֳ = (495 / 15%) *100% = 3300 - 1
ֳ = (712,8 / 15%)*100% = 4752 - 2
ֳ = (528 / 15%) * 100% = 3520 3
18
1) 1050 240
ֳ 12 %
?
(1290/ 1050) * 100% = 123 %
(123% / 112%) * 100% = 110%
2) , , 3 . 10 , 7 . , 200 , - 150 .
1 = 3 .
. 1 (.) | ʳ | ||
= (10 * 200) + (7*150) / 200+150 = 8,7 () -
= 8,7 * 3 = 26,1 (.)
3 ) 260 . .
120 . .
60 . .
6 . .
100 . .
15 . .
28 . .
11 . .
. = 260+120+100 = 480 .
. = 62+6+15+28+11 = 120 .
= 260+120+60+100+28 = 568 . .
= 6+15+11 = 32 .
4) , . , ?
- () . , , , .
:
-, ( ) ;
-, , ;
-, .
. . - . , 25% - .
19
1) 15 %
30 %
(115% / 130%) * 100% = 88,5 %
100% - 88,5% = 11,5%
11,5 %
2) 180
50/
12 .
% 10 %
8 %
-?
180 * 50 = 9 . .
ֳ = ( / %) * 100%
ֳ = (9.. / 8%) * 100% = 112,5
3) , , , , . ? ?
= ( 400 310) / (80 0) = 1,125
= (120 200) / (220 360) = 0,57
= (250 - 0) / (450 150) = 0,83
́ á , , , .
, , .
4) , ? , , , ? , , ?
. , , . . , . ³ 86.
86 ,
,,,
. (,, ,)
-
- , , . : . , .
. , . , , , .
, , , , , . ,
5) , , . 90 . . 10 .
) 4 ?
) , , ?
) 8 .
-90 . 10
=90/10=9 .
90-9*4=54 .- 6
90-9*7=27 .
27*2=54 .- 7
90-9*8=18 .- 8
20
1. 120 , 40 ./, 12%, 10%. .
S=120,
=40 % 12%
-10%
=/ % *100%=120*40=4800
=4800/10%*100%=48000
2) ϳ 600 . ., 15 , 3 . . 11 ?
=600/15=40
600-40*11=160 -
3) 40 . ., 2 . ., 40 . ., 5 . . 3:1. 20 , 3 . .
40 .
-2 .
-40 .
-5 . /V=3/1
. 20
-3
-?
г -?
=40+2+40+5=87
V=20
=116
г -80/20+7*3=25
4) , ? ?
, (. ). , , . , () . , , , . - -. - - - . - . - , -. (- ). -, . .. .
5) -800 20
-2200 50 .
% -10% -12% -40
-25
.-10
=2000
.-90
г -520
.-?
-?
.=-.=520-25-10-40-800/20-2200/50=361
=-+ =361-90-2000*0.12=31
ϳ .
21
1.) , , , 15%, 7%, 8%.
I=85%, =107%, q=92%, Iv -?
Iv= Ip*Iq/I
Iv=107*92/85=115,8%
15,8%.
2.) 250. . 120. 22000.; 8000. -?
= 250*120=30..
=
= 30-22=8.
= +
= 30-22+8=0
Գ .
.
; `.
3.) 30 . ., 12 . ., 8 . . . .
.=30..; .=12..; V=8.. .-? C/V-?
.=C + V
C = 30+12-8=34..
= 34+8=42..
C/V=34/8=4/1
- , ` .
, .
, .
4.) , ( )?
, ,
, . - , . .
- , ( ) () ³ ( ) ( ).
. . (, ) , , , , .
5.) 300. 5,5. . .% -12%. 1200.. . 80.. ֳ -? -?
ֳ =*100% / .%
=
= -
= 300*5,5=1650..
= 1650-1200=450..
= 450-80=370..
ֳ = 370*100% / 12%= 3083,3..
22
1.) 180 ., 80 . , 65 .
ATC = 180 .; AFC = 80 .; Q = 65.
VC -? TC -?
TC=FC+VC
ATC=TC/Q
AFC=FC/Q
TC = 180*65=11700.
FC = 80*65 = 5200.
VC = 11700-5200=6500.
2.) =160.; 30. ; 300. . .-?
= /
ֳ = /
³ = *
ֳ = 160/8=20.
= 20/30=0,66.
³ = 0,66*300=198
³ .
3.)