Answer:
All possible values for the number of tables that the store must sell in order to meet the requirements are 9, 10, 11, 12, 13.
Step-by-step explanation:
Let x be the number of chairs sold and y be the number of tables sold.
Chairs are sold for $50 each, then x chairs cost $50x.
Tables are sold for $250 each, then y tables cost $250y.
In total, x chairs and y tables cost $(50x+250y).
Every day, the store can ship no more than 36 pieces, then

Every day, the store must sell at least $3,400 worth of chairs and tables, then

If 23 chairs were sold, then x = 23. Substitute it into the inequalities:

Thus 
This means all possible values for the number of tables that the store must sell in order to meet the requirements are 9, 10, 11, 12, 13.