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1 30 , - 25 , , ...

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(i) , (Y0 ), :

)

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IS ( , IS ), LM ( LM)

8% 3%,

1. 6%

2. 3.67%

3. 11%

4. 3%

: + ( ) = 8 % + 3 % = 11 %

 

12% 3%,

1. 12%

2. 15%

3. 4%

4. 3%

, 2 300 . . . , 20% , ..

) 250 . . .

) 225 . . .

) 275 . .

) 300 . . .

: (.. 300 .) .

PV = FV: (1 + nr), n ( , = 1 , r , ()

Þ PV = 300: (1+ 20,2) = 214,28

, 225 . ., !

75 . , 5% , 1500 . ..

:

() = ( (R): %) 100 %; Þ (75 . . .: 5 %) 100 % = 1500 . . .

 

50 . . . , 5 % , _ 1000 _ . . .

:

() = ( (R): %) 100 %; Þ = (50 .: 5%) 100 %= 1000 .

, 4 24000 , , 12% ______

1) 200000

2) 50000

3) 288000

4) 24000

:

() = ( (R): %) 100 %; Þ (24000: 12 %) 100 % = 200000

 

(MPC) 0,74,

) 3.85

) 3,24

) 4,19

) 2,67

:

k () = 1: MPS = 1:(1 MPC) = 1: (1 0,74) = 1: 0,26 = 3,84615.. 3,85

 

(MPC) 0,45,

) 1.45

) 1,82

) 2,36

) 2,95

: .

100. , 2000 ., - 10., 30

:

1. ATC = AFC + AVC; AVC = VC: Q = 2000: 100 = 20

2. ATC = AFC + AVC = 10 + 20 = 30.

 

4% 2%, ....

)

)

)

)

:

1. : 2 %: 4 % = 1:2 = 0,5

2. .. < 1,

1000 800 .., 780 680 . ., (MPS) 7

:

= 1000 680, .. (680: 1000) = 85 %; 15 % (100 % - 85 %); Þ)MPS = 15 %

.. MPS 15 % - 22 % = - 7 %

 

400 800 .., 240 . ., (MPS) ( ) 40

:

.. 1 = MPC + MPS; MPS = 1 MPC; MPC = Δ : Δ Y = 240: (800 400) = 0,6 Þ MPS = 1 0,6 = 0,4; : 0,4 x 100 % = 40 %

 

400 800 .., 360 680 . ., (APC) 5,55

: APC = : Y

1. APCo = 360: 400=0,9; APCt = 680: 800=0,85

2. : (APCt - APCo): APCo 100%= - 5,5555 %

 

400 800 .., 360 630 . ., (APC) 12,5

: .

 

1000 800 . ., 780 680 . ., (P) 8,97

1) APC = : Y

2) APCo = 780: 1000=0,78; APCt = 680: 800=0,85

3) : (APCt - APCo): APCo 100%= 8,97 %

400 800 . ., 300 600 . ., () ( ) 75

:

= (600 - 300): (800 400) = 3: 4 = 0,75; : 0,75 100 % = 75 %

 

=200 . ., =7%, =2%, =2, 180 . .

:

1) = 7 % - 2 % = 5 %

2) (Y) (Yf) = 5 % 2 (. )= 10 %

3) Y=Yf 10 % Yf = 200 20 = 180

150 ., -160 ., 170 ., 15% 򅅅...

1. 363,16

2. 460,15

3. 453.37

4. 386.54

: ; - : PV = FV: (1 + r)n, n ( , = 1 , r , ()

1. PV1 = 150: (1+ 0,15)1 = 150:1,15 = 130,43

2. PV2 = 160: (1+ 0,15)2 = 150:1,152 = 121,03

3. PV3 = 170: (1+ 0,15)3 = 150:1,153 = 111,84

4. PV1 + PV2 + PV3 = 363,3, .. ~ 363,16!

 

$ 300, - $ 325, 10%,

1) $ 532,5

2) $ 541,3

3) $ 549,4

4) $ 556,1

: .

200 . ., 70 . ., , 35

:

APS = S: Y = 70: 200 = 0,35; Þ 0,35 100 %= 35 %

= 270 . ., = 5 %, = 2, 300 ..

:

1) (Y) (Yf) = 5 % 2 (. )= 10 %

2) Yf =[Y:(100 % Y Yf)] 100 % = [270:(100 % 10 %)] 100 % = 300

 

= 340 . ., = 5 %, = 3, 400 ..

:

1) (Y) (Yf) = 5 % 3 (. )= 15 %

2) Yf =[Y:(100 % Y Yf)] 100 % = [340:(100 % 15 %)] 100 % = 400

 

=340 . ., =7%, =2%, =3, , 60 . .

:

1) = 7 % - 2 % = 5 %

2) , .. (Y) (Yf) = 5 % 3 (. )= 15 % ( 0,15, %)

3) Yf =[Y: (100 % Y Yf)] 100 % = [340:(100 % 15 %)] 100 % = 400

4) Y=15 % Yf = 400 0,15 = 60

10 150 . ., 8%, _____ . .

  1. 1725
  2. 1500
  3. 1875
  4. 1250

:

() = ( (R): %) 100 %; Þ = (150 .: 8%) 100 %= 1875 .

 

- Qd=40-P (Qd- , .P-.. .), AC(Q)=2Q+10( .), , , 35 .

:

1. P=MR=MC

2. MC= (Q)΄; TC= AC x Q = (2Q+10) x Q = 2Q2+10Q

3. .. TC= 2Q2+10Q Þ MC= 4Q + 10

4. Qd= 40 P Þ P = 40 Q Þ MR= 40 2Q

5. . MR= MC Þ 40 2Q=4Q + 10; Q=5

6. Pmax (c.4)= 40 Q= 40-5=35

 

- Qd=106-P(Qd- ,., P- , . .), AC(Q)= 5Q+10 ( .), , , 94 .

:

1. P=MR=MC

2. MC= (Q)΄; TC= AC x Q = (5Q+10) x Q = 5Q2+10Q

3. .. TC= 5Q2+10Q Þ MC= 10Q + 10

4. Qd= 106 P Þ P = 106 Q Þ MR= 106 2Q

5. MR= MC Þ 106 2Q=10Q + 10; Q=12

6. Pmax (c.4)= 106 Q= 106 - 12=94

 

- Qd=40-P (Qd- , .P-.. .), AC(Q)=2Q+10( .), , , 5 .

:

1. P=MR=MC

2. MC= (Q)΄; TC= AC x Q = (2Q+10) x Q = 2Q2+10Q

3. .. TC= 2Q2+10Q Þ MC= 4Q + 10

4. Qd= 40 P Þ P = 40 Q Þ MR= 40 2Q

5. MR= MC Þ 40 2Q=4Q + 10; Q=5

 

5%, 400 .., 8000 . .

:

1) () = ( (R): %) 100 %;

2) = (400 . .: 5 %) 100 % = 8 000 . .

, , 1000 . 500 , 800 . , 100 . ,

.

2) 2 .

3) 5 .

4) 100 .

: R - ( ); Pr ; Pr ; FC ; VC .

1. Pr = Pr:Q; Pr = R = TR FC - VC

2. Pr = 1000 800 100 = 100

3. Pr = 100: 500 = 0,2

C=200+0,8Y (Y - ), Y = 2000 . . () 90 .

:

APC = C: Y = (200+0,8 2000): 2000 = 0,9; : 0,9 100 % = 90 %

S=(-20)+0,25 ( - ), =100 .. (APS) 5

:

APS = S: Y Þ APS = (- 20+ 0,25 100): 100=0,05; Þ 0,05 100 %= 5 %

 

S=(-40)+0,5 ( - ), =200 .. (APC) 70

:

1. APS + APC = 100 %; Þ APC = 100 % - APS;

. 2. APS = S: Y = [(-40) + 0,5 200]: 200 = 0,3; Þ 0,3 100 %= 30 %

3. APC = 100 % - 30 % = 70 %;

S = (-50)+0,5Y, (Y ), Y=100 (APC), 100

:

1. APS + APC = 100 %; Þ APC = 100 % - APS;

2. APS = S: Y = [(-50) + 0,5 100]: 100 = 0: 100 = 0. .. !

3. APC = 100 % - 0 % = 100 %;

 

12 59 . 1 , 6%, , 42,48 . . .

:

3) () = ( (R): %) 100 %; Þ R =( %): 100 %

4) = 59 . . 12 = 708 . .

5) R = (708 6%): 100 % = 42,48 .

 

12 50 . , 6%, , 36 . . .

:

1) () = ( (R): %) 100 %; Þ R =( %): 100 %

2) = 50 . . 12 = 600 . .

3) R = (600 6%): 100 % = 36 .

 

10 8 . , 5%, , 4 . . .

: .

: Qd=11-P, Qs=-4+2P(Qd- , Qs- ,P-,. .), 6 . . 6 .

:

 

 
 

 


1. Pt. , . (Qd=11-P).

2. (P). Qd=Qs, .. 11-P =-4+2P Þ 3=15; (.. )= 5

3. (Pt)= + 6 = 11.

4. Q ( Qd) =11-P=11 5=6.

5. Qt ( Qd) =11-P= 0.

6. Qt Q: Qgt Q=0-6= - 6.

 

: Qd=11-P, Qs= - 4+2P(Qd- , Qs- ,P-,. .), , 3 . . 2 .

:

 

 
 

 


1. ( Pg) Qg. , .. (- 4+2P).

2. Qg ( Qs) =- 4+2P = - 4+2 3= - 4 + 6=2

 

: Qd=11-P, Qs= - 4+2P(Qd- , Qs- ,P-,. .), 6 . ., 18 .

:

 

 


1. , . , , D D1. , (Qs= - 4+2P), .

2. (P). Qd=Qs, .. 11-P =-4+2P Þ 3=15; (.. )= 5

3. 1 = + 6= 5 + 6= 11.

4. Q1 ( Qs) =- 4+2P = - 4+2 11= - 4 + 22=18

 

: Qd=11-P, Qs= - 4+2P(Qd- , Qs- ,P-,. .), , 10 ., 10 .

 

 
 

 

 


1. .

2. , Pg= 10, . =: Qd=Qs, .. 11-P =-4+2P Þ 3=15; (.. )= 5. Þ Pg> Þ Qg Qd=11-P

3. Qg =11 -P = 11 10=1

4. : Pg Qg = 10 1 = 10

: Qd=11-P, Qs= - 4+2P(Qd- , Qs- ,P-,. .), 30 .

1. .

2. =: Qd=Qs, .. 11-P =-4+2P Þ 3=15; (.. )= 5.

3. , Qd=11-P

4. Q =11 -P = 11 5=6

5. : P Q = 5 6 = 30

 

P=20-Q, TC=2+4Q+Q2, , , 16

:

1. Pmax MR= MC

2. P = 20 Q Þ MR= 20 2Q; Pmax P = 20 Q

3. C(Q)=2 + 4Q+ Q2 Þ MC=4 + 2 Q

4. MR= MC Þ 20 2Q = 4 + 2Q Þ 16 = 4 Q; Q=4

5. Pmax (c..2)= 20 Q= 20-4=16

P=16-Q, TC=2+4Q+Q2, , , 13

:

1) Pmax MR= MC

2) P = 16 Q Þ MR= 16 2Q; Pmax P = 16 Q

3) C(Q)=2 + 4Q+ Q2 Þ MC=4 + 2 Q

4) MR= MC Þ 16 2Q = 4 + 2Q Þ 12 = 4 Q; Q=3

5) Pmax (c..2)= 16 Q= 16 - 3=13

 

QD=20-2P, , 3, 49.

:

 
 

 

 


1) = D = 0,5 D. =3

2) 0D; QD=20-2P; QD = 0; Þ 20-2P = 0; = 10 =0D

3) D; 0D = 10 3= 7

4) 0Q QD=20-2P =3: 0Q = 20 2 3 =14

5) D= 7 14=98.

6) D = 0,5 98= 49

 

QD=12-3P, , 2, 6

: . .

 

QD=16-4P, , 2, : 8

: . .

QD=45-3, Qs= 2 + 10,

1. 110

2. 83

3. 96

4. 124

:

1. Pe 45-3 = 2 + 10; Pe = 7

2. P 45-3 0 = 45-3P; 45 = 3 P; P= 15 =P

3. Qe 45-3 45 3 7 = 24

4. = 24 (15 7) = 192

5. = 192: 2 = 96

P=60-Q, TC=10+Q2,

15

2) 43 17

3) 44 16

4) 46 14

:

1. Pmax MR= MC

2. P = 60 Q; Þ MR= 60 2Q;

3. C(Q) = 10 + Q 2; Þ MC= 2 Q

4. Q: MR= MC; Þ 60 2Q = 2Q; Þ 60 = 4 Q; Q= 15

5. P (c..2)= 60 Q = 60 - 15= 45

P=80-5Q, TC=50+20Q,

1) 45 7

6

3) 40 8

4) 55 5

:

1. Pmax MR= MC

2. P = 80 5 Q; Þ MR= 80 10 Q;

3. C(Q)= 50 + 20 Q; Þ MC= 20

4. Q: MR= MC; Þ 80 10Q = 20; Þ 60 = 10Q;; Q= 6

5. P (c..2)= 80 5Q = 80 - 30= 50

 

 


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:

: MPL: PL = MPK: PK

.. 2: 1 > 5: 20 Þ , .. MPL: PL,

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: 2016-10-22; !; : 8398 |


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