non liner math please help me

Question

p=(x-4)^{3 _{+ (x-4)}3}

 

2x₁    + 3x₂ >   6 and -3x₁ -2x₂  >  -12

 

 

find the maximized  profit

Answer 1

plot the two constraints which enclose a quadrilateral

with 4 vertices. (x1, x2) = (0,4) seems to be the vertex

that maximizes the objective function (x-4)^-3 + (x-4)^-3