Write SQL for car rental utilization by city

## SQL / Data Query Prompt (Car Rental) You are given four tables: ### `user` - `user_id` ### `location` - `location_id` - `city` ### `car` - `car_id` - `car_size` (e.g., compact, midsize, suv) - `location_id` (the car’s current/home location) - `is_active` (1 if available in fleet) ### `fct_rental` - `rental_id` - `car_id` - `pickup_location_id` - `pickup_ts` - `dropoff_ts` (nullable if not yet returned) ## Task For a given date `D` (e.g., `'2025-01-15'`), compute for **each (city, car_size)**: 1. `rented_cars`: how many **distinct cars** were **rented at any time during date D** (i.e., the rental interval overlaps that date). 2. `inventory_cars`: how many cars of that `car_size` exist in that city’s inventory (based on `car.location_id`, only `is_active = 1`). 3. `utilization_rate = rented_cars / inventory_cars` (as a decimal). Return rows grouped by `city` and `car_size`. ### Notes - A rental overlaps date D if it started before the end of D and ended after the start of D. Treat `dropoff_ts` NULL as "still ongoing". - If `inventory_cars = 0`, return `utilization_rate` as NULL (or avoid division-by-zero).