Answer:

Key:
• 
• Factor out the last leading term standing to solve in the end.
Step-by-step explanation:

The second constraint is the same as the objective function, so your problem boils down to finding integer solutions to
.. 3x1 +5x2 = 36
There are 3 solutions. They are (x1, x2) = (12, 0), (7, 3), (2, 6)
The value of the objective function there is (obviously) 36.
For this case, the first thing we must do is define variables.
We have then:
x: number of cabins
y: number of campers
We now write the equation that models the problem:

We know that there are 148 campers.
Therefore, substituting y = 148 in the given equation we have:

From here, we clear the value of x:

Therefore, the number of full cabins is:

Answer:
The number of full cabins is:
