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, $115, or $180 respectively. They have a total of 200 beds and 100 rooms available. They would like to insure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1.

The decision variables for this model would be:

Let X1 = the number of 1 bedroom rentals

Let X2 = the number of 2 bedroom rentals

Let X3 = the number of 3 bedroom rentals

What would be the constraint(s) to insure there are enough beds to fill requirements for the optimal solution?

Group of answer choices

X1 + 2X2 + 3X3 <= 200

X1 + X2 + X3 <= 200

X1 <= 200

X2 <= 200

X3 <= 200

200X1 + 200X2 + 200X3 <= 200

None of these