You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla go 2 eggs and 3 cups of cream. Into each quart of Continental Mocha go 1 egg and 3 cups of cream. You have in stock 450 eggs and 750 cups of cream. You make a profit of $3 on each quart of Creamy Vanilla and $2 on each quart of Continental Mocha. How many quarts of each flavor should you make to earn the largest profit? HINT [See Example 2.] (If an answer does not exist, enter DNE.) Creamy Vanilla quarts Continental Mocha quartsGerber Product's Gerber Mixed Cereal for Baby contains, in each serving, 60 calories and 11 grams of carbohydrates. Gerber Mango Tropical Fruit Dessert contains, in each serving, 80 calories and 21 grams of carbohydrates. If the cereal costs 31c per serving and the dessert costs 50c per serving, and you want to provide your child with at least 140 calories and at least 32 grams of carbohydrates, how can you do so at the least cost? (Fractions of servings are permitted. If an answer does not exist, enter DNE.) Gerber Mixed Cereal for Baby serving(s) Gerber Mango Tropical Fruit Dessert serving(s)Nutrition Ruff, Inc. makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce, and grain has 2 grams of protein and 2 grams of fat per ounce. A bag of dog food must contain at least 234 grams of protein and at least 154 grams of fat. If chicken costs 9c per ounce and grain costs ic per ounce, how many ounces of each should Ruff use in each bag of dog food to minimize cost? (If an answer does not exist, enter DNE.) grain oz chicken OZThe demand for a book is given by q = -1,000p + 220,000 copies per year, where p is the price per book in dollars. The supply is given by q = 2,000p + 70,000 copies per year. Find the price at which supply and demand balance. $Let x, y, z, and w represent the population in millions of four cities A, B, C, and D, respectively. Express the given statement as an equation in x, y, z, and w. If the equation is linear, express it in the standard form ax + by + cz + dw = k. (If the equation is not linear, enter NONLINEAR.) City A has eight times as many people as cities B and C combined