Question: ANGELA AND Bob Ray keep a large garden in which they grow cabbage, tomatoes, an onions to make two kinds of relish _chow-chow and tomato. The chow-chow is made primaly of cabbage, whereas the tomato relish has more tomatoes than chow- chow. Both relishes include onions, and negligible amounts of bell peppers and spices. A jar of chow- chow contains 8 ounces of cabbage, 3 ounces of tomatoes, and three ounces of onions, whereas a jar of tomatoes relish contains 6 ounces of tomatoes, 6 ounces of cabbage, and two ounces of onions. The rays grow 120 pounds of cabbage, 90 pounds of tomatoes, 45 pound of onions each summer. The Rays can produce no more than 24 dozens jars of relish. They make 2.25 in profit from a jar of chow-chow and 1.95 in profit from a jar from tomato relish. The rays want to know how many jars of each kind relish to produce to generate the most profit.

a) formulate a linear programming model for this problem

b) solve this model graphically.