Linear programming is to be used to develop a production schedule. Define the variables as follows:

X$1=$ number of tables produced each week

X$2=$ number of chairs produced each week

In this production problem, which of the following would be a necessary constraint for the assembly department?

X$1+$ X$2<=40$

$2$X$1+3$X$2<=200$

$3$X$1+2$X$2<=200$

$2$X$1+2$X$2<=180$