" The order can be accepted as given, and can be executed at the discretion of the brokerage firm at any time or day " is TRUE about the handling of this order.
Step-by-step explanation:
In this case "Discretion" applies to free trading when a broker conducts business in an user's account without any of the customer being contacted first.
It typically means that the broker will determine how many stock, commitments or other securities to purchase or sell, at what cost, without customer input.
For example, a consumer might approve only blue-chip investments. If an investor prefers socially responsible investments, the broker may not bet in stocks or under-funded businesses. The investor can advise the broker, but allow the broker to spend as the broker sees fit, to preserve a certain stock to bond ratio. A broker handling a discretionary account shall follow (if applicable) the customer's explicit orders and limitations.