A paint company is trying to recycle unpopular paint colours by mixing them together to create better colours. All paints are composed of four pigments (A,B,C,D). The current paints are composed of pigments (in percent) according to the following equations: are p₁ = 80A + 16C + 4D, P2 = 80B + 20C, P3 = 30A + 10B + 60C, P4 = 10A + 10B + 72C + 8D. The better colour say p; is composed as follows: ps = 40A + 27B + 31C + 2D. How much of the paints P₁, P2, P3, and p4 should be used to make one gallon of ps. Hint: use (Ax=b).

Operations Research : Applications and Algorithms
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ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter20: Queuing Theory
Section20.11: The M/g/s/gd/s/∞ System (blocked Customers Cleared)
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A paint company is trying to recycle unpopular paint colours by mixing them together
to create better colours. All paints are composed of four pigments (A,B,C,D). The current
paints are composed of pigments (in percent) according to the following equations: are p₁ =
80A+ 16C + 4D, p2 = 80B + 20C, p3 = 30A + 10B + 60C, P4 = 10A + 10B + 72C + 8D. The
better colour say ps is composed as follows: ps = 40A + 27B + 31C + 2D. How much of the
paints P₁, P2, P3, and p4 should be used to make one gallon of ps. Hint: use (Ax=b).
Transcribed Image Text:A paint company is trying to recycle unpopular paint colours by mixing them together to create better colours. All paints are composed of four pigments (A,B,C,D). The current paints are composed of pigments (in percent) according to the following equations: are p₁ = 80A+ 16C + 4D, p2 = 80B + 20C, p3 = 30A + 10B + 60C, P4 = 10A + 10B + 72C + 8D. The better colour say ps is composed as follows: ps = 40A + 27B + 31C + 2D. How much of the paints P₁, P2, P3, and p4 should be used to make one gallon of ps. Hint: use (Ax=b).
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