Lin wants to buy 700 total ice cream treats for her business. A sundae is $0.75 each with a profit of $1.25, an ice cream sandwich is $0.85 each with a profit of $1.40, and a raspberry ice cream is $0.55 each with a profit of $1.30. Lin wants to spend no more than $400 to buy the treats, and wants to gain at least $800 in profit. How many of each treat would she need to reach her goal?