A small furniture manufacturer produces tables and chairs. Each product must go through three stages of the manufacturing process: assembly, finishing. and inspection. Each table requires 3 hours of assembly, 2 hours of finishing, and 1 hour of inspection. Each chair requires 2 hours of assembly, 2 hours of finishing, and 1 hour of inspection. The profit per table is $120 while the profit per chair is $80. Currently, each week there are 200 hours of assembly time available, 180 hours of finishing time, and 40 hours of inspection time. Linear programming is to be used to develop a production schedule. Define the variables as follows: T-number of tables produced each week C-number of chairs produced each week In this production problem, which of the following would be a necessary constraint in the problem? T+C5 200 2T+C 540 3T + 2C 200 120T+80C 2 1000 None of the above