It's false due to the squares being reduced to their minimum values.
A. The order in which you define the variables isn't fixed. For the sake of this discussion, let's define them like this:
x = Number of bookshelves
y = Number of tables
B. Due to the total number of items to produce, we have the following inequality based on those variables.
x + y > 25
Additionally, you can create a second inequality concerning your budget for materials.
20x + 45y < 675
Moreover, you should also add that both values must not be negative, since you can't produce negative tables.
C. By analyzing the constraints and solving the system, you will find that the feasible region contains 4 vertices.
(0,0)
(18, 7)
(0, 15)
(33.75, 0) or (33, 0) if you prefer to round it.
