I have a question on the most profitable mix. X1 = belts, X2 = watches
Profit: 25X1 + 15X2
I have 3X1 + 2X2 < or = 240 and 2x1 + X2 < or = 100.
I then multiplied 2x1 + X2 < or = 100 by 1.5 to get a common term and got X2 < or = 180 and X1 < or = 40. We have to either do a graph or some other way find out what the most profitable mix of belts and watches are but I have no idea where to go from here. Any help would be appreciated, thanks.
I think I have to draw it out on a graph and find the feasible region which is shaded and the most profitable area will be one of the 4 corners?