A company makes three types of drinks using a combination of orange juice and tangerine juice. For production, the planning department has acquired 1500 liters of orange juice and 2000 liters of tangerine juice. The following table shows the amount of juice (in liters)

Used for the manufacture of each drink. The company sets the sale price for each drink at $15/litre. Each liter of orange juice has a cost of $ and the liter of mandarin juice is purchased at a cost of $2. A market study established that a demand of at least 400 liters of the beverages produced is expected.

The company seeks to maximize the profit (utility) from the production and sale of beverages, for which it has established the following PL model:

X: liters of drink to be manufactured

X2: 2 liters of drink to be manufactured. X: liters of drink to be manufactured

X: 3 liters of drink to be manufactured

Z: total profit obtained from the production and sale of beverages

\begin{tabular}{|c|c|c|c|} \hline & Bebida 1 & Bebida 2 & Bebida 3 \\ \hline Jugo naranja & 6 & 3 & 3 \\ \hline Jugo mandarina & 2 & 3 & 4 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|} \hline & Bebida 1 & Bebida 2 & Bebida 3 \\ \hline Jugo naranja & 6 & 3 & 3 \\ \hline Jugo mandarina & 2 & 3 & 4 \\ \hline \end{tabular}