Question 1168326
x = number of chairs 
y = number of tables.


x + y <= 29


200x = revenue from x number of chairs
500y = revenue from y number of tables


200x + 500y >= 8800


when x = 14, ...


x + y <= 29 becomes 14 + y <= 29
subtract 14 from both sides of this inequality to get:
y <= 15


200x + 500y >= 8800 becomes:
200 * 14 + 500y >= 8800
simplify to get:
2800 + 500y >= 8800
subtract 2800 from both side of this inequality to get:
500y >= 8800 - 2800
simplify to get:
500y >= 6000
divide both sides of this inequality to get:
y >= 6000/500
simplify to get:
y >= 12


you have two requirements for y when x = 14.


they are y >= 12 and y <= 15.


your possible values of y are 12, 13, 14, 15


these 4 values of y satisfy the requirement that x + y <= 29 and 200x + 500y >= 8800 when x = 14.