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: X = number of tables produced each week, and Y = number of chairs of produced each week. Suppose it is also decided that there must be 4 chairs produced for every table. How would this constraint be written?

Select one:

a. X - 4 Y = 0b. X - Y 4c. X + Y = 4d. - X + Y 4e. 4 X - Y = 0