The painter's mix revisited

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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 respectively, that the painter should buy.

Find the values of xx and yy that minimize cost for the painter.

Output format:

Suppose the value of x=2.3x = 2.3 and y=2y =2, you should enter:

2.3 2
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