Question

a manufacture produces tables and desks. each table requires 2.5 houres for assembly (A), 3 hours for the polishing (P) and 1 hour for packaging (C). each desk requires 1 hour for assembly, 3 hours for the polishing and 2 hours for packaging. the company cannot have, each week, more than 20 hours for the assembly, and 30 hours for polishing and 16 hours for packaging. its profit margin is 3$ per table and 4$ per office. find the combination of the products which maximize the weekly profits of the company