A company manufactures steel profiles for the construction industry in four Sizes: Small, Medium, Large, and X-Large. These profiles can be produced in any of the three mills available: A, B and C. The meters of profile that can be produced per hour in each type of mill, are given below

Additionally, each mill can be used at most 48 hours/week, and required monthly at least 14,000, 10,400, 8,000 and 12,000 meters of each profile, respectively. Assume 4 weeks in a month.

\begin{tabular}{lrrc} Perfil & \multicolumn{3}{c}{ Molino } \\ \hline Pequeo (p) & B & C \\ Mediano (m) & 100 & 200 & 270 \\ Grande (g) & 85 & 130 & 230 \\ Extragrande (e) & 70 & 120 & 200 \\ Utilidad de operacin & 35 & 70 & 100 \\ (\$/hora) & 210 & 350 & 560 \end{tabular}