Miss Fresh bought $1,000$ shares of Ibis Corporation stock for $$5,000$ on January $15,2013.$ On December $31,2023,$ she sold all $1,000$ shares of her Ibis stock for $$4,500.$ Based on a hot tip from her friend, she bought $1,000$ shares of Ibis Corporation stock on January $23,2024,$ for $$3,000.$ What is Miss Fresh's recognized loss on her $2023$ sale and what is her basis in her $1,000$ shares purchased in $2024?$

Multiple Choice

$$0$ LTCL and $$3,500$ basis

$$200$ LTCL and $$3,300$ basis

$$300$ LTCL and $$3,200$ basis

$$400$ LTCL and $$3,100$ basis

$$500$ LTCL and $$3,000$ basis