A Small Company Makes Only Two Products (X and Y)

Multiple Choice

A small company makes only two products (X and Y) , with the following production constraints representing two machines and their maximum availability:
2X + 3Y ≤ 18
2X + Y ≤ 10
X ≥ 0, Y ≥ 0
where: X = units of the first product, Y = units of the second product
If the profit equation is Z = $4X + $2Y, the maximum possible profit is:

A) $20
B) $21
C) $18
D) $24
E) $14