A diet is being prepared for the University of Arizona dorms. The objective is to feed the students at the least cost, but the diet musthave between 1,850 and 3,650 calories. No more than 1,450 calories can be starch, no fewer than 450 can be protein, and no morethan 160 calories should be fat. The varied diet is to be made of two foods: A and B. Food A costs $1,80 per pound and contains 650calories, 450 of which are protein and 250 starch. No more than 2 pounds of food A can be used per resident. Food B costs $2.55 perpound and contains 950 calories, of which 750 are starch, 150 are protein, and 110 are fat.Write the equations representing this information. (Leave no cells blank - be certain to enter "0" wherever required. Round youranswers to 2 decimal places.)MinimizezA+B s.tCaloriesCaloriesStarchProteinFatAmount of AAAAAAA++++BBBBBV2S2VIVI

The objective is to minimize the cost. The diet must contain calories between 1850 and 3650 No more…

Answered: A diet is being prepared for the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The graph of a continuous function is shown a. List any critical numbers b. Classify each critical number. 4 567 8 9 10 a. The critical numbers are x =. (Type whole numbers. Use a comma to separate answers as needed. Use ascending order.) b. List any critical number(s) which correspond to horizontal tangents. O A. At x= the function has a horizontal tangent. (Use a comma to separate answers as needed. Use ascending order.) O B. The function has no horizontal tangents. ist the critical number(s) which correspond to vertical tangents. OA. At x= the function has a vertical ngent. (Use a comma to separate answers as needed. Use ascending order.)
A plant food is made from three chemicals, labeled I, II, and III. In each batch of the plant food, the amounts of chemicals II and III must be in the ratio of 4 to 3. The amount of nitrogen must be at least 42 kg. The percent of nitrogen in the three chemicals is 7%, 3%, and 4%, respectively. If the three chemicals cost $1.08. $0.86, and $0.65 per kilogram, respectively, how much of each should be used to minimize the cost of producing at least 750 kg of the plant food? The minimum cost plant food is made with kg of chemical 1 kg of chemical II, andkg of chemical III (Type integers or decimals. Round to one decimal place as needed.)
A female bodybuilder is designing her diet leading up to a competition. To meet her macronutrient goals, she needs to consume at least 240 grams of protein and at least 30 grams of fat per day. Additionally, she needs to eat at most 120 grams of carbohydrates per day. Her goal is to meetthese goals while minimizing her sodium intake. She plans to eat only three foods: eggs, white rice, and oatmeal. Each serving of eggs has 6 grams of protein, 5 grams of fat, and no carbohydrates. Each serving of white rice has 4 grams of protein, no fat, and 40 grams of carbohydrates. Finally,each serving of oatmeal has 6 grams of protein, 3 grams of fat, and 20 grams of carbohydrates. The eggs, white rice, and oatmeal has 60, 2, and 80 units of sodium respectively. What I Have: (a) Define the decision variables.(b) What is the objective? (c) Give all constraints for this linear programming problem.(d) Give all constraints for this linear programming problem so that all inequalities are in ≤ form.(e)…
A patient takes vitamin pills. Each day he must have at least 420 IU of vitamin A, 8 mg of vitamin B,, and 45 mg of vitamin C. He can choose between pill 1, which contains 240 IU of vitamin A, 2 mg of vitamin By, and 5 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 2 mg of vitamin B, , and 30 mg of vitamin C. Pill 1 costs 20¢, and pill 2 costs 60¢. Complete parts a and b below. a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost? He should buy ……of pill 1 and…..? of pill 2. The minimum cost is $….? b. For the solution in part a, the patient is receiving more than he needs of at least one vitamin. Identify that vitamin, and tell how much surplus he is receiving He is receiving ……IU of vitamin A, …….." mg of vitamin B,, and….. mg of vitamin C more than he needs.
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 208 grams of protein and at least 178 grams of fat. If chicken costs 11¢ per ounce and grain costs 1¢ per ounce, how many ounces of each should Ruff use in each bag of dog food to minimize cost?
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 238 grams of protein and at least 158 grams of fat. If chicken costs 9¢ per ounce and grain costs 1¢ per ounce, how many ounces of each should Ruff use in each bag of dog food to minimize cost? grain ___oz chicken ____oz
A plant food is made from three chemicals, labeled I, II, and III. In each batch of the plant food, the amounts of chemicals II and III must be in the ratio of 5to 3. The amount of nitrogen must be at least 39 kg. The percent of nitrogen in the three chemicals is 8%,4%,and 5%,respectively. If the three chemicals cost $1.02 $0.86 and $0.66 per kilogram, respectively, how much of each should be used to minimize the cost of producing at least 600 kg of the plant food?
A zookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2700 mg of iron, 2400 mg of vitamin B-1, and 1800 mg of vitamin B-2, One Maxivite pill contains 500 mg of iron, 200 mg of vitamin B-1, and 100 mg of vitamin B-2, and costs $0.05. One Healthovite pill provides 100 mg of iron, 150 mg of vitamin B-1, and 150 mg of vitamin B-2, and costs $0.06. Complete parts (a)-(c) below. (a) What combination of Maxivite and Healthovite pills will meet the walrus's requirement at lowest cost? What is the lowest cost? Set up the linear programming problem. Let m represent the number of Maxivite pils, h represent the number of Healthovite pills, and c represent the total cost in dollars. Minimize c= 0.05m + 0.06h subject to 500m + 100h 2 2700 200m + 150h 2 2400 100m + 150h 2 1800 m20, h 2 0. (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.) The best combination of pilts that moets the walrus's…
A patient takes vitamin pills. Each day he must have at least 300IU of vitamin A, 3 mg of vitamin B1, and 60 mg of vitamin C. He can choose between pill 1, which contains 180 IU of vitamin A, 1 mg of vitamin B1, and 10 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 1 mg of vitamin B1, and 40 mg of vitamin C. Pill 1 costs 25¢, and pill 2 costs 50¢. Complete parts a and b below. a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost? He should buy nothing of pill 1 and nothing of pill 2. The minimum cost is $ nothing. (Simplify your answers. Type integers or decimals.)
an artist makes three types of ceramic statues( large, medium and small) at monthly cost of $880 for 250 statues. the manufacturing costs for the three types are $5,$4,$3. if the statues sell for $26, $18, and $15, respectively, how many of each type should be made to produce $4,240 in monthly revenue Large ? Medium ? Small ?
An animal food must provide 60 units of vitamins and 67 calories per serving. One gram of soybean meal provides 2.5 units of vitamins and 5 calories. One gram of meat byproducts provides 4.5 units of vitamins and 3 calories. One gram of grain provides 5 units of vitamins and 10 calories. A gram of soybean meal costs 7¢, a gram of meat byproducts 9¢, and a gram of grain 10¢. (a) What mixture of these three ingredients will provide the required vitamins and calories at minimum cost? (b) What is the minimum cost? (a) Set up the initial tableau for the dual maximum problem. Fill in the missing entries. X2 S1 S2 S3 2.5 1 4.5 3 10 10

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