Cheula Veronica

MONOPOLIO DISCRIMINADOR Reg: 177-668

 

  1. Henderson y Quandt

    2. Pag: 250 Teroría Microeconomica

    C = 80.(q1 + q2) + 10

    P1 = 100 – 2q1

    P2 = 120 – 3q2

    IT1= 100q1 – 2q12

    IT2 = 120q2 – 3q2

    BT = 100q1 – 2q12 + 120q2 – 3q22 - 80q1 –80q2 –10

    = 20q1 – 2q12 + 40q2 – 3q22 - 10

    Img1 = 20 – 4q1

    Q1 = 5

    Img2 = 40 – 6q2

    Q2 = 6,67

    B’’ < 0 entonces es máximo

    P1 = 90

    P2 = 99,99

    B = 173,33

    Img 1,2 = 80

    CT = 943,6

    Sin Discriminar

    100 –2q1 = 120 – 3q2

    0 = 20 – 3q2 + 2q1

    L = 20q1 – 2q12 + 40q2 – 3q22 - 10 + l ( 20 – 3q2 + 2q1)

    L’q1 = 0 20 – 4q1 +2l = 0 l = -10 +2q1

    L’q2 = 0 40 – 6q2 - 3l = 0 l = 40/3 – 2q2

    L’l = 0 20 – 3q2 + 2q1 = 0

    -10 + 2q1 = 40/3 – 2q2

    q1 = 35/3 – q2

    20 – 3q2 + 70/3 – 2q2 = 0

    q2 = 26/3

    q1 = 3

    -4 0 2

    H = 0 -6 -3 = 60>0 entonces máximo

    2 -3 0

    P1 = 94

    P2 = 94

  2. Guía de Tow

P1 = 100 – 2X1

P2 = 150 – 3X2

CT = 36 – 12(X1 + X2)

BT = 100X1 – 2X12 + 150X2 – 3X22 – 36 + 12X1+ 12X2

Img1 = 88 – 4X1 = 0

X1 = 22

Img2 = 138 – 6X2 = 0

X2 = 23

B’’ < 0 entonces máximo

B = 2555

Sin Discriminar

P1 = P2

100 – 2X1 = 150 – 3X2

50 –3X2 + 2X1 = 0

L = 88X1 – 2X12 + 138X2 – 3X22 + l ( 50 –3X2 + 2X1)

L’X1 = 0 88 – 4X1 + 2l = 0 l = -44 +2X1

L’X2 = 0 138 – 6X2 - 3l = 0 l = 46 –2X2

L’l = 0 50 – 3X2 + 2X1 = 0

-44 +2X1 = 46 –2X2

X1 = 45 – X2

50 – 3X2 + 90 – 2X2 = 0

X2 = 28

X1 = 17

P1 = 66 P2 = 66

-4 0 2

H = 0 -6 -3 = 60> 0 entonces máximo

2 -3 0
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