. .
I.
.
1. . : Q (L) = 120L -2 . W = 60 .
P =8
. ,
.
:
.
= *P
= Q (L)'
=120 - 2*2L = 120 - 4L
= (120 - 4L)*8 = 960 - 32L
= W
960 - 32L = 60
L = 28,125 → L = 28 ( )
Q = 120*28 - 2* = 1792
TR = Q*P = 8*1792 = 14336 .
: L = 28, Q = 1792, TR = 14336.
.
1. = 200 + 30Q, P = 60 - 0,2Q. P Q, .
:
= R. . R , , R. , .
MC=TC' =(200+30Q)'=30
TR=P*Q=60Q-0,2
MR =TR'=60-0,4Q
MC=MR
30 = 60 - 0,4Q
Q = 75
P = 60-0, 2*75 = 45
: Q = 75, P = 45.
2. 1500 . P = 304-2Q, TC=500+4Q+8 . : 1) , . 2) .
:
1) = R.
TC = MC'
TR = P*Q
MR = TR'
4 +16Q = 304 - 4Q
20Q = 300
Q = 15
P = 304 30 = 274
2) , . .
=1500
TR-TC = 1500
TR = PQ = (304 - 4Q) * Q
304Q-2 -500-4Q-8 =1500
-10 +300Q-2000=0
-30Q+200=0
= =
= 20 = 264
= 10 = 284
, , : = 10 = 284, .
3. : = 8000 + 11,5Q + 0,25 . : =150 0,5 =200 . , .
: = = MC
MC = '= 11,5+0,5Q
= '= ( *(150 )*2)' =300 4
= '= ( *(200 ))' =200 2
:
|
|
11,5 + 0,5*( + ) = 300 4
200 2 = 300 4
= 2 50 .
: = 57, = 64, = (150 )*2 = 186, = (200 ) = 136
.
1. Q = 26 - 12, Qs= 6 + 8. Qo, Po, = 0,5, V = 2.
:
, :
26 - 12 = 6 + 8;
20 = 20;
= 1.
Qo:
Q= 26 - 12 = 14;
() ,
.
= 3 Q = 26 - 12*2 = 2; Qs = 6 + 2*8 = 22.
V = Qs Q = 22 2 = 20;
= 0,5 Q = 26 - 12*0,5 = 20; Qs = 6 + 3*0,5 = 10.
V = Qs Q = 20 - 10 = 10;
2. 6 . 8 . 12 10 . .
:
:
= ((Q1 Q0)/ (Q1 + Q0))*((1+ 0)/(1 0)),
Q - , -
:
= ((8 6) /(8 + 6))*((10 + 12)/(10 12)) = 1,57 ( )
1 , .
3. 6000 . 10 000, 3 5 , 2 1. .
:
:
= ((Q1 Q0)/ (Q1 + Q0))*((I1 + I0)/(I1 I0)),
Q - , I .
, :
= ((5 3) / (5 + 3))*((6000 + 10000)/(10000 6000)) = 1
0, , .
= ((1 2) / (1 + 2))*((6000 + 10000)/(10000 6000)) = - 1, 3
0, , .