To determine when the average monthly cost is less than $40, we can set up an inequality with the given function.
The given function is:
c(x) = -1400 + 20x
To find when the average monthly cost is less than $40, we need to find the values of x that satisfy the inequality c(x) < 40.
So, we have:
-1400 + 20x < 40
Adding 1400 to both sides of the inequality, we get:
20x < 1440
Dividing both sides by 20, we get:
x < 72
Therefore, the average monthly cost is less than $40 for x values less than 72.