The Spring Break-Inn Hotel is trying to make plans for the spring break season. They must decide on the number of beds to place in each room in order to maximize profit. They can put 1, 2, or 3 beds in any room and realize a profit of $90 for a room with 1 bed, $115 for a room with 2 beds, or $180 for a room with 3 beds. They have a total of 200 beds and 100 rooms available. They would like to insure the ratio of rooms with 3 beds to rooms with 2 beds is no more than 4 to 1.

The decision variables for this model would be:

Let X1 = the number of rooms with 1 bed

Let X2 = the number of rooms with 2 beds

Let X3 = the number of rooms with 3 beds

What would be the objective function for this problem?