graph the system of constraints, name the vertices, then find the values of x and y that maximize or minimize the objective function.

Question

x>=2
y>=0
3x+2y>=12
minimum for C = x + 5 y
please help me, im confused on how to start this

Answer 1

graph the three lines
clearly, the vertices are at (2,0), (2,3), (4,0)
now evaluate C at each vertex