Hello bobchiba,

I'm assuming that and .

Graph the two equalities:

and

Shade the appropriate regions indicated by the inequalities and find where they overlap. This is your feasible region.

Three of the vertices lie on the axes: (0, 0), (360, 0) , and (0, 240).

To find the 4th vertex, solve the two linear equations for their intersection point.

See attachment.

Then to find your optimal point or wher the profit function produces the largest value, substitute each vertex coordinates into your function and see what comes out.