Question

-12 points Wane FMAC6 5.2.021 13. My Notes +Ask Your Teacher 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 500 eggs and 900 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 in order to earn the largest profit? HINT [See Example 2.] (If an answer does not exist, enter DNE.) Creamy Vanilla quarts Continental Mocha quarts Need Help? Read It Practice It Talk to a Tutor Show My Work (optional) -12 points WaneFMAC6 5.2.025 +Ask Your Teacher My Notes 14. Gerber 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.t If the cereal costs 30¢ per serving and the dessert costs 51¢ 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.) serving(s) Gerber Mixed Cereal for Baby Gerber Mango Tropical Fruit Dessert serving(s) Need Help? Talk to a Tutor Read It Practice It Show My Work (Optional)

Answer 1

Solution Let 'v be the numnber of quarts of reamy vanilla and m' be the humbers of quasts of condinenttal mocha and We heed 2 eggs Rer the vanilla eggs for the mocha as Pallous equation CTotal eggs Can set up So we 2V+Imニ Soo Now ahother equation set up we We need 3 cups of tcream Por the vanilla Cend m nd Por the mocha total numberr of availabte cups of Cheam Cups of Cmeam 9oo equation Now ue ame ap an Antal cups of ream need to Solve Now he we system of equations 2V+mに Soo 3NH3M900 Solve the equadion equation then for m Finst we Substitute it in the So. 2VAA = 500ナ equation Then we substitude it in the 3vt9 (S00-21)- Then we get 300 1+ So0 1Pく 川 3 00-500 -V V 200

N 200 in the eauast on We Substitute UTH we get, m SOO2 C200) So0-400 woCNO m 1o0 bao 200 quarts of ceamy vahilla We make Cund lo0 quarts of continental Mocha is the requuired answer This wll help ou Ehope