Ergebnisse (Kosten- und Preistheorie)

    1. K(x) = 1,2x + 300
    2. K(x) = 2,5x + 500
    3. K(x) = 2x + 800
  1. K(x) = 1,5x + 250 / 500 / nein
    1. K¯(x) = 0,1x + 2 + 40/x; xopt = 20; K¯(xopt) = 6
    2. K¯(x) = 0,05x + 1,6 + 28,8/x; xopt = 24; K¯(xopt) = 4
    3. K¯(x) = 0,03x + 0,5 + 50/x; xopt ~ 41; K¯(xopt) = 2,95
    4. K¯(x) = 0,01x + 0,25 + 72/x; xopt ~85; K¯(xopt) = 1,95
    1. K(x) = 0,001x² + 5x + 250; xopt = 500; K¯(xopt) = 6
    2. K(x) = 0,0025x² + 6x + 800; xopt = ~566; K¯(xopt) = 8,83
    3. K(x) = 0,1x² + 5x + 800; xopt ~ 89; K¯(xopt) = 22,89
    4. K(x) = 0,1x² + 20x + 1000; xopt = 100; K¯(xopt) = 40
    5. K(x) = 0,005x² + 1120; xopt ~ 473; K¯(xopt) = 4,73
    1. K(x) = 0,02x² + 80x + 800; xopt = 200; K¯(xopt) = 88
    2. K(x) = 0,005x² + 12x + 1800; xopt = 600; K¯(xopt) = 18
    1. xW = 2; xopt ~ 8; xmin = 3; LPU = 9,55; KPU = 4,55
    2. xW = 50; xopt ~ 79; xmin = 75; LPU = 80,48; KPU = 67,5
    3. xW = 250; xopt ~ 408; xmin = 375; LPU = 87,42; KPU = 59,38
    4. xW = 25; xopt ~57; xmin = 37,5; LPU = 8,83; KPU = 3,69
  2. xW = 10; xmin = 15
    1. K(x) = 0,02x³ - 3x² + 180 x + 1000
    2. K(x) = 0,01x³ - 0,4x² + 6x + 200
    3. K(x) = 0,025x³ - 0,75x² + 60x + 3200
    4. K(x) = 0,002x³ - 0,18x² + 7,8x + 9450
  3. K(x) = 0,001x³ - 0,2x² + 180x + 36000; xW ~ 67
    1. x1 = 10; x2 = 40; xGmax = 25; Gmax = 22,5
    2. x1 = 20; x2 = 260; xGmax = 140; Gmax = 720
    3. x1 = 400; x2 = 1600; xGmax = 1000; Gmax = 720
    4. x1 = 900; x2 = 10000; xGmax = 5450; Gmax = 20702,50
    5. x1 = 70; x2 = 270; xGmax ~ 181; Gmax = 8515,70
    6. x1 ~ 227; x2 ~ 604; xGmax ~ 448; Gmax = 18252,60
    1. p(x) = -0,2x + 60; pmax = 60; xS = 300; xEmax = 150
    2. p(x) = -0,1x + 180; pmax = 180; xS = 1800; xEmax = 900
    3. p(x) = -0,25x + 150; pmax = 150; xS = 600; xEmax = 300
    4. p(x) = -0,05x + 25; pmax = 25; xS = 500; xEmax = 250
    1. p(x) = 0,01x² - 2,6x + 160; pmax = 160; xS = 100; xEmax = 40
    2. p(x) = 0,001x² - 1,6x + 550; pmax = 550; xS = 500; xEmax ~ 215
    3. p(x) = -0,015x² + 24; pmax = 24; xS = 40; xEmax ~ 23
    1. x1 = 10; x2 = 50; C(30/13)
    2. x1 ~ 14; x2 ~ 536; C(275/54)
    3. x1 ~ 17; x2 ~ 133; C(75/4)
    4. x1 = 80; x2 = 4220; C(2150/78,50)
    1. xGmax = 30; pGmax = 12; Gmax = 70
    2. xGmax ~ 67; pGmax = 16,65; Gmax = 501,87
    3. xGmax = 10; pGmax = 60; Gmax = 230
    4. xGmax ~ 25; pGmax = 30; Gmax = 282,50
  4. x1 ~ 7; x2 ~ 57; C(32/45); Gmax = 780
  5. K(x) = 0,01x² + 7x + 400; x1 = 20; x2 = 400; C(210/19,6)
  6. K(x) = 0,025x² + 60x + 8000; C(1500/202,50); Gmax = 149500
  7. K(x) = 0,1x³ - 2x² + 25x + 1450; x2 ~ 26; C(18/128); Gmax = 468,80
  8. p(x) = -0,05x + 80; x1 = 60; x2 = 300; C(180/71)
    1. 6
    2. 4
    3. 12

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