Suppose there is a parking lot where the parking fee is $6$ dollars for the first hour, and costs an additional fee of $5$ dollars for every additional hour. There is also an extra charge of $10$ dollars for trucks, while compact cars get a 50% discount. If the random variable $X$ represents the number of hours parked, and $D_{2i}$ and $D_{3i}$ denote the indicator variables for trucks and compact cars, respectively, which of the following represents the equation for the parking fee $Y_i$ (in dollars)?

Note: $X$ is calculated as the smallest integer that is larger or equal to the actual number of hours parked. For instance, if a car is parked for 2 and half hours, then $X=3.$