A small fumiture 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

Which of the following would be a necessary constraint in the problem?

Select one:

a$.T+C200$

b$.120T+80C1000$

c$.T+C40$

d$.T+C180$