The production manager of a plant located in Altamira, Tamaulipas is analyzing the production line that is responsible for manufacturing polyol for urethane. In this line, the plant produced 4 different materials for the automotive industry. The sales area defined the production needs for the following month but the manager thinks that the plant could not meet all the demand and had to present to sales the production program that would give the company the highest profits. Searching the finance and production files found the following data:

The raw material cost for A is $10 per batch, for B $5 per batch, for C $5 per batch, and for D $10 per batch. 10 30 10 The demand for A is 60 lots per week and the sale price is $75 USD per lot, for B 80 lots are required per week and its sale price is $72 USD per lot, for C 80 lots are needed per week and its price is $45 USD and for D there is a demand for 100 lots per week with a sale price of $38 USD. The plant works from Monday to Friday an 8-hour shift. The financial area reports that the overhead of the plant is $8,500 USD per week and that each worker receives $18 USD per hour of work. The plant has 5 workers assigned to this production unit who work 8 hours a day from Monday to Friday. The director decides to take these data and propose a production to sales program indicating how much of each material will be produced and supporting his plan with the profit data obtained with that scenario

\begin{tabular}{|l|l|l|l|l|l|} \hline Product/Equipment (cycle time in minutes) & Pre reactor & Reactor & Stripping tank & Ph adjustment tank & Filtered out \\ \hline A & & 10 & 30 & 10 & \\ \hline B & & 20 & & 10 & \\ \hline C & 5 & 5 & & 5 & 5 \\ \hline D & 15 & 0 & & 5 & 10 \\ \hline \end{tabular} \begin{tabular}{|l|l|l|l|l|l|} \hline Product/Equipment (cycle time in minutes) & Pre reactor & Reactor & Stripping tank & Ph adjustment tank & Filtered out \\ \hline A & & 10 & 30 & 10 & \\ \hline B & & 20 & & 10 & \\ \hline C & 5 & 5 & & 5 & 5 \\ \hline D & 15 & 0 & & 5 & 10 \\ \hline \end{tabular}