Sara makes two kinds of kites out of fabric and popsicle sticks. Her Famous Flyer ( \(x\) ) needs 2 yards of fabric and 9 popsicle sticks; her Gallant Glider ( \(y\) ) needs 3 yards of fabric and 18 popsicle sticks. She makes a profit of \(\$ 4\) on the Famous Flyer and \(\$ 6\) on the Gallant Glider. Today she has 30 yards of fabric and 153 popsicle sticks. How many of each kite should she make to maximize her profit?

Use the four steps for solving linear programming problems to solve.