Richelieu Specialty Paints has begun making paints for the interior design market. The company starts the process by blending four base paint mixes that they buy from major manufacturers. They then add other components to finish off the paint mix to customer specifications. Each of the four base mixes includes pigment, solvent and three additives. When Richelieu blends the four base mixes they want the final product to be within these specifications (these numbers are a percentage of total volume):

? Pigment: 26% ? x ? 32%

? Solvent: 59% ? x ? 66%

? Additive 1: 3% ? x ? 5%

? Additive 2: 5% ? x ? 7%

? Additive 3: 1% ? x ? 3%

The specifications of each of the four base mixes before they are blended is:

Pigment Volume Solvent Volume Additive 1 Volume Additive 2 Volume Additive 3 Volume Unit Cost Base 1 30.0% 48.0% 10.0% 6.0% .0% 15 Base 2 25.0% 60.0% 5.0% 5.0% 5.0% Base 3 25.0% 67.5% 0.0% 2.0% 5.5% Base 4 30.0% 55.0% 5.0% 10.0% .0%