Cotton & Wool industries also has innovative applications for the industry. For example, they developed colors for knitting wools for special purpose applications. The color baths are mixed using two different ingredients - the color and an agent that makes the color more UV stable. Other ingredients go into the color baths that are not important to the analysis. The mix of the two ingredients depends on the product type.

You are asked to calculate the amount of blue color bath you can prepare for Product A and Product B. You have 357 liters of blue color and 623 liters of UV agent. The following table indicates how much of the blue color (in liters) and how much of the UV agent (in liters) you need to make a liter of color bath for Product A and Product B.

Product A Product B

Blue Color (in liters) 0.211 0.503

UV agent (in liters) 0.453 0.432

Suppose you have to prepare the color baths for Product A and Product B at the same time. How many liters of color bath for Product A and Product B can you prepare using the available inventory of the color blue and the UV agent?