Afurniture factory manufactures wooden chairs, tables, and cabinets. each product undergoes two processes: assembly and finishing. each chair requires 2 hours in the assembly and 3 hours in the finishing. each table requires 3 hours in the assembly and 4 hours in the finishing. each cabinet requires 4 hours in the assembly and 2 hours in the finishing. the assembly department is available 36 hours. each chair contributes 80 (pesos) profit, a table gives 200 (pesos) each and each cabinet gives 250 (pesos) to profit. determine a plan of production that will maximize the profit?