Lavender is making bags of party favors for each of the 6 friends attending her party. she does not want to spend more than $42 . if p represent the cost of the a party favor , write , solve , and graph an inequality to represent the possible cost of each party favor .

Your vet has placed your pet on a diet. the diet is to contain at least 12 mg of fat and at least 14 mg of protein per serving. these requirements are to be obtained from two food sources. source a contains 2 mg of fat and 2 mg of protein per serving. source b contains 1 mg of fat and 3 mg of protein per serving. if source a sells for $1.28 per serving and source b sells for $1.12 per serving, how many servings of each type should be purchased to satisfy the requirements at minimal cost?