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:

































 

 

 

 


-




1) , 26%, 20%, 15%.

.

MV=PQ,

1) M- .

2)P- .

3)Q-- .

4)V- .

-?

Q 26%

20%

V 15%

.

:

M, P, V, Q = 100%

Ip = Im * Iv/ Iq

Im = 80% Iv = 115% Iq = 126%

Ip = 80 * 115/ 126 = 73, 01% - 26,99%

2) 35000 . . , 80000 . 20 . г 8%, 10%.

- 35000 .

- 80000 . 20

% - 10%

- 8%

-?

% = 80000*0,1= 8000.

= 80000/20 = 4000.

= + +%

- , .

35000 = + 4000 +8000

= 23000 .

.

ֳ = / % *100%

ֳ - , 򳺿 , .

ֳ = 23000 *100/ 108=287,5. .

3.) : 120 . , ( ) 90%, 80%, 4,0 %. .

. .=120. =90%. г -80%, .=4% -?

= . .

. =*100% /

= 120*0,9=108.

=108*0,2=21,6.

.=21,6*100% / 108=20%

= 20-4=16%

4) , . ?

- ( ) , . ,

. , , , .

- , , ,

, , .

.

5) 4:1, ( ). 888000 ., 100%. , ) ; ) 2 . , ? ) ?

4:1

= 888000

- 100%

-?

:

C/V =4/1

5=888000; =V=177600; =710400

)m=m*V/100%=177600

)

m=355200 m=100%

) 177600/888000*100%=20%

-

,

. ,

, .

,

2

1.) 10 . 160 ., 500 . 15 . 3500 . . ?

Q=10. AVC=160. FC=500 . Q=15. TC=3500. -?

=dTC/ dQ

VC=1600.

TC=2100.

dTC=1400.

M=400/5=280.

, ` .

2.) 80 . . 20 . . 8 . . , . ?

..=80.. .=20.. =8.. -?
= / *100%

=8/100*100%=8%

=8*20/100%=1.6 ..

=8*80/100%=6.4 ..

, .

3.) . 6 , 9 , 8 . 200 . , 150 ., 120 . . , , 1 3 .

1 6 200.

2 9 150. 1 = 3.

3 8 120.

-? ֳ -?

= 200*6+9*150+8*120/470=1200+1350+960/470=7,5.

ֳ = 7,5*3=22,4.

4) : , ? ?

- , .

- , . \.

, \ , , \ .

\ = \ * 100%

5.) ϳ 2400 . . 12 , 30 . . 8 . , , 1,5 . . ? . ?

-2400.. 12. .=30.. 8 . 1,5 . -? -? ` -?

=2400/12=200.

A`=200/2400*100%=8,3%

=45..

.=200/30=6,7.. 1

.=200/45=4,4. - 2

6,7-4,4=2,3.. . .

2,3*4=9,2. - . . 4

9,2*30=276.. 4 .

г , .

г .

.

3

1) 15%. , , 20%.

15%

20%

?

. = 100 + 15 = 115%

= 100 + 20 = 120 %

. = . \ * 100%

. . = 115% \ 120% * 100% = 95.8 %

, 4.2 %

2) 450 . ., 100 . . 20 . . . 50 . .

. =450..; . .=100.. =20.. .=50.. -?

= / *100%

=20/550*100%=3,6%

=3.6% *100/100=3.6

..=3.6%*450/100=16.4

3) 200 . . 3:2. 100%. , , 10 .

= 200 , \V = 3\2, 100%

W -? -? -?

C = 120, V =80,

m = m * V \ 100; m = 100% * 80 \ 100 = 80

W = C + V + m; W = 120 + 80 + 80 = 280

+ = 10

:

\ = 1

= 1 *

+ = 10

2 = 10 = 5

= 5

4) ?

. . . .

? , . ? . . ? . , ,

, . .

.,

. .

-

() .

.

.

. ? . ? . ? , , - . ( , ). .

. . . .

, .. . .

. . .

. ( , . , ). . . . ? , , , . ? , , , , . ? , . . .

.

. . , . . , . , .

5.) 180 . . г 40 . . 75% . - 12%, 14%. 2000 . ) , ? ) , 90% , 50% .

-180.. -40.. -75% ; 5 -12%. 200 . .) -? -? .) -? 90% , 50% - .

.) = *100% / %

1 = 30000/2000=15.

= 15/12*1005=125.

=

= 125*2000=250..

= 250-180=70..

.) 1 = 20000/2000=10.

= 10/12*100% = 83,3%

= 83,3*1800=150.

= 150-180=30..

4

1.) 64000 . . , 60000 . 20 . г 8, 6%

64.. 60.. 20. % -8%, -6% -?

= - % . .

= 60/20=3..

= 64-3-60*0,08=61-4,8=56,2..

2.) , 1400 . . 124 . . , 500 . . 㳿 30 . . . , , ? , ? , ?

.-1400.., - 124..; 㳿 -500.. 30..

p`=p/c+v*100%

p`=124/1400*100%=8,8% - .

p`=30/500*100%=6% - .

p`=154/1900*100%=8,1%

ϳ , .

- , , , , , .

, .

=8.1*124/100=10.04

.=8.1*30/100=2.43

 

3)

Q TC FC VC AFC AVC ATC
        2.42 1.58  
        1.6 2.4  

 

TC1 = ATC * Q = 4 * 33 = 132

AVC = VC\Q = 52\33 = 1.58

VC1 = TC FC=132-80=52

80\120 = x\4-x

AFC1 = TC\Q=200\50 = 4 120x=80(4-x); 120x =320 80x

200x = 320 x= 1.6 4* 1.6 = 2.4

AFC2=80/50=1.6

AVC=120/50=2.4

4) . ?

C :

-

-

-

-

: - . .. , . .. , ;

. . . , ,

, . , , . , , . , , , , , , .

5) 30 . . . 12 . ., 18 . ., 0,9 . ., 0,5 . ., 0,6 . . 15 . , 2 . , , , .

12.. -18, 0,9; 0,5; . 0,6 . 15. - 30. . . . - 2 .

.-? - -? г , , ?

.=12+18+0,9+0,6=31,5..

г = 30/15+0,6*12+1,4*8=2+7,2+11,2=20,4..

.=20,4/30=680.

2,4/ 31,5=0,08

31,5/20,4=1,5 .

5

1) , 240000 ., 20 . ³ 12%, 16%. , 80000 ., 20000 .

240000 , 20

³ 12%, 16%.

80000, 20000, ?

. - , . , .

= + + %

= 240000\20 =12000

% = 240000* 0,12 = 28800 .

( , , .)

80000 = + 12000 +28800

=39200

2) D = 45 + 4, : S= - 3 + 8. :

) ;

) , 10 .? ( ).

D = 45 + 4, S= - 3 + 8

45+4p = -3 + 8p

12p = -48

P = -4 -

D = 45 + 4(-4)= 29

S = -3 + 8(-4) = - 35

D = 45 + 4(10) = 85 ()

S = -3 + 8(10) = 77

3) . , ?

Q TC FC VC AFC AVC ATC
             
            12.6

 

ATC = TC\Q TC = ATC*Q TC = 12*60 = 720

VC = TC FC VC = 720 480 = 240

AVC = VC \ Q AVC = 240 \ 60 = 4

AFC = FC\Q AFC = 480 \ 60 = 8

ATC = TC\Q ATC = 950\75 = 12.6

4) ? , ?

* . ' , , , , , , , ;

* - 3-3,5 (3-4 ). , . - . ' . , - ;

* - - 7-11 . 1825 ., . 12 1836 . 볿, , ͳ. 1857 . 7-11 ;

* " ", 40-60 .

5) .  15 , 12 , 8 . 1 10 ,18 , 20 . 15%, 10%, 450 .

) , 1 3 ? , , ?

)

1 1

1 15 10 160 20 15*20

2 12 18 160 20 12*20

3 8 20 160 20 8*20

́ ́ , , . , . :

- ;

- ;

6

1. 120 . . 260 . . .

( )=120

W=260

-?

=V+m=120

W=C+V+m

260=+120

=260-120=140

³: =140

2. .

/ 2009 2800

2005 2200

. 2009 2700

2005 1900

. /= 2800/2200 * 100%=127,3%

=2700/1900 * 100%=142,1%

/= . / / * 100%=127,3/142,1 * 100%=89,6%

³:?

3. - , , , , 2 .

. - - . . ֳ . (.) + -
    28 25,1 50,2   +203
    24 25,1 50,2   -77

- . . =(28*35 + 24*95) / (35+95)=25,1

1 = 2

ֳ = 25,1*2=50,2

³: - . . = 25,1

ֳ = 50,1

1 203

2 77

4. , ? , .





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