Ruff, Inc. makes dog food out of chi 2 grams of protein and 2 grams of fat per o
ID: 3146898 • Letter: R
Question
Ruff, Inc. makes dog food out of chi 2 grams of protein and 2 grams of fat per ounce. A bag of dog food must contain at least 204 grams of protein and at least 174 grams of fat. If chicken costs 11e per ounce and grain costs 1e per ounce, how many ounces of each should Ruff use in each bag of dog food in order to minimize cost? HINT [See Example 4.] (If an answer does not exist, enter DNE.) grain chicken cken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce, and grain has oz Need Help? ReadItWatchPraticetTaik to Tuter 6. O-2 points WaneFM6 5 2 025 Notes Ask Your T My 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 52¢ 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) 5.2 www.webassign.net/web/Student/Assignment-Responses/submit2dep- 17259ReadExplanation / Answer
Solution 5:
c refers chicken , g refers grain
Protien : 10c + 2g = 204 ------ (A)
Fat : 5c + 2g = 174 -------- (B)
c > 0
g > 0
minimize : p = 11c + 2g
Solving equation A and B
Points are : (6,72) , (0,87) , (34.8,0)
at (6,72)
Price : 11*6 + 2*72 => 210
at (0,87)
Price : 11*0 + 87*2 => 174
at (34.8,0)
Price : 11*34.8 + 2*0 => 382.8
Thus minimum price for (0,87)
Chicken : 0 ounce
Grain : 87 ounce
Cheaper to use all grain.
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