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Have a look at our Booking and Reservations module. I\’ve attached a screenshot from the extension, which, to my mind, fully corresponds to your description.
It has flexible booking/reservation options:
1. Flexible \"exclude days\” rules: Similar to âblackoutâ days with airlines, prevent bookings/reservations for certain dates
2. Option to set billable periods by âdayâ or âhoursâ: makes this extension suitable for date-time-date and time-based products, e.g. hotel room/consulting attendance/rental products
3. Set available times for bookings and reservations, e.g. reservations can be made only from 8:00 AM - 6:00 PM
4. Specify date and time period of product availability, making this extension useful for products that are available for limited time periods such as a particular play or movie
4. Allow multiple reservations for the same time based on available quantity of the bookable product: for example, a car wash with 3 boxes could allow 3 reservations in the same time slot