The painter's mix

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A painter mixes paint A and paint B to get the desired composition of pigments X, Y, and Z. The painter requires at least 10 units of pigment X, 15 units of pigment Y, and 20 units of pigment Z. Both paints come as a 1 kg mixture with the following composition:

Paint Pigment X Pigment Y Pigment Z
A 1 1 2
B 1.5 1.5 1

A kg of paints A and B cost $6\$6 and $4\$4 respectively. Let xx and yy represent the units of paints A and B that the painter should buy.

The objective function is:

Minimize z=Q1x+Q2yMinimize \ z = Q_1x + Q_2y

The Pigment X constraint is:

C1x+C2yDC_1x + C_2y \ge D

The Pigment Y constraint is:

E1x+E2yFE_1x + E_2y \ge F

The Pigment Z constraint is:

G1x+G2yHG_1x + G_2y \ge H

Find the values of Q2,E2,F,G1,C1Q_2, E_2, F, G_1, C_1 and HH.

Output format:

1.5 2 3 20 15 7
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