Answer: 19
Step-by-step explanation:
Step 1 - find the vertices
You can do this by solving the systems of equations to find the coordinate where each pair of equations intersect ..or.. by graphing.
I chose to graph it - (see attachment)- purple is the intersection
Vertices are: (0, 29/3), (5,3), & (11, 0)
Step 2 - find the minimum
Plug all of the vertex coordinates into the given equation and look for the lowest value.
C = 2x + 3y
(0, 29/3): 2(0) + 3(29/3) = 0 + 29 = 29
(5, 3): 2(5) + 3(3) = 10 + 9 = 19 → this is the minimum!
(11, 0): 2(11) + 3(0) = 22 + 0 = 22
