LAB1 / 6

/* Objective function */
min: L;

L = 6x11 + 6.2x12 + 7.2x13 + 7.4x14 + 15.x21 + 15.4x22 + 18x23 + 18.4x24 +
11x31 + 11.2x32 + 13.2x33 + 13.4x34 + 14x41 + 14.3x42 + 16.8x43 + 17.1x44;

0.03x11 + 0.15x21 + 0.05x31 + 0.1x41 +
0.03x12 + 0.15x22 + 0.05x32 + 0.1x42 <= 400;

0.06x11 + 0.12x21 + 0.1x41 +
0.06x12 + 0.12x22 + 0.1x42 <= 400;

0.05x11 + 0.1x21 + 0.05x31 + 0.12x41 +
0.05x12 + 0.1x22 + 0.05x32 + 0.12x42 +
0.05x13 + 0.1x23 + 0.05x33 + 0.12x43 +
0.05x14 + 0.1x24 + 0.05x34 + 0.12x44 <= 500;

0.04x11 + 0.04x13 + 0.2x21 + 0.2x23 +
0.03x31 + 0.03x33 + 0.12x41 + 0.12x43 <= 450;

0.02x11 + 0.06x21 + 0.02x31 + 0.05x41 +
0.02x12 + 0.06x22 + 0.02x32 + 0.05x42 +
0.02x13 + 0.06x23 + 0.02x33 + 0.05x43 +
0.02x14 + 0.06x24 + 0.02x34 + 0.05x44 <= 400;

0.04x12 + 0.04x14 + 0.2x22 + 0.2x24 +
0.03x32 + 0.03x34 + 0.12x42 + 0.12x44 <= 100;

2x21 + 2x22 + 1.2x41 + 1.2x42 <= 2000;

x11 + x12 + x13 + x14 = 3000;
x21 + x22 + x23 + x24 = 500;
x31 + x32 + x33 + x34 = 1000;
x41 + x42 + x43 + x44 = 2000;

/* Variable bounds */