The McCoy Family raises cattle on their farm in Alberta. They also have a large garden and green-houses, in which they grow ingredients for making two types of  relish—cabbage and tomato. These they sell in 500-mL jars at local stores and craft fairs in the fall. The profit for a jar of cabbage relish is $2.25, and the profit for a jar of tomato relish is $1.95. The main ingredients in each relish are cabbage, tomatoes, and onions. A jar of cabbage relish must contain at least 60% cabbage, 5% onions, and 10% tomatoes, and a jar of tomato relish must contain at least 50% tomatoes, 5% onions, and 10% cabbage. Both relishes contain no more than 10% onions. The family has enough time to make no more than 700 jars of relish. In checking sales records for the past five years, they know that they will sell at least 30% more cabbage than tomato relish. They will have 300 kilograms of cabbage, 350 kilograms of tomatoes, and 30 kilograms of onions available. The McCoy family wants to know how many jars of relish to produce to maximize profits. 

Formulate and solve a linear programming model for this problem.