A diet is to contain at least 1260 units of carbohydrates, 2060 units of proteins, and 1480 calories. Two foods are avalable: F, which costs $ 0.04 per unitand Fy, which costs $ 0.08 per unit. A unit of food F, contains 2 units of carbohydrates, 6 units of proteins and 8 calories. A unit of food Fy contains 8 units ofcarbohydrates, 4 units of proteins and 2 calories.Find the minimum cost for a diet that consists of a mixture of these two foods and also meets the minimal nutrition requirements.Comer points of the feasible region:If there is more than one comer point, type the points separated by a comma (ie. (1,2),(3,4).Minimum cost is: $when F,=unitsand Funits.%3D

Graphical methods seek to reveal patterns that are indicative of problems with either the model or…

Answered: A diet is to contain at least 1200…

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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Animal feed is to be made from corn and mixed seeds. One pound of corn has 30 units of fat and 20 units of protein. One pound of mixed seeds has 20 units of fat and 40 units of protein. The feed must supply a daily requirement of 2800 units of fat and 2200 units of protein. What combination of corn and mixed seeds should be used in or- der to make a feed that has a mini- mum total weight? Mixture of corn and other seeds.
A population gathers plants and animals for survival. They need at least 440 units f energy, 300 units of protein, and 8 hides. One unit of plants provides 30 units of energy, 10 units of protein, and 0 hides. One animal provides 20 units of energy, 25 units of protein, and 1 hide. Only 26 units of plants and 27 animals are available. It costs 20 hours of labor to gather one unit of a plant and 12 hours for an animal. Find how many units of plants and animals should be gathered to meet the requirements with a minimum number of hours of labor. The population should gather 3 units of plants and 11 animals. (Simplify your answers.)
A goal is to get at least 10% of daily calories from polyunsaturated fats as are found in various nuts, oils, and fish. One serving of walnuts (about 15 pieces) has about 20 g of polyunsaturated fat. Each fat gram has 9 calories. About what percent of daily calories does one serving of walnuts provide, assuming a 2,000-calorie diet?
Suppose a total of 15 ounces of medicine is added to the original mixture (so that the total volume is now 25 ounces with 18 ounces of medicine and 7 ounces of water). How much water must now be added so that the mixture has the same proportion of medicine and water as the original mixture?
Cholesterol intake should be limited to 300 milligrams or less each day. Two McDonald's Quarter Pounders and three Burger King Whoppers with cheese contain 520 milligrams of cholesterol. Three Quarter Pounders and one Whopper with exceed the suggested daily intake by 53 milligrams. Determine the cholesterol content in each item.
An oil supertanker has a deadweight tonnage (the total amount that it can carry in crew, supplies, and cargo) of 300,000 long tons. Assume that the crew and supplies are 15,000 long tons and the rest consists entirely of oil. The density of oil is 53.0629 pounds per cubic foot, 1 cubic foot is 7.4813 gallons, 1 long ton is 2240 pounds, 1 barrel of oil is 42 gallons, and the price of oil is $58.09 per barrel. What is the value of the oil in the tanker?
Bottled water and medical supplies are to be shipped to survivors ofan earthquake by plane. Each container of bottled water will serve 10 people and eachmedical kit will aid 6 people. Each plane can carry no more than 80,000 pounds. The bottledwater weighs 20 pounds per container and each medical kit weighs 10 pounds. Each planecan carry a total volume of supplies that does not exceed 6000 cubic feet. Each waterbottle is 1 cubic foot and each medical kit also has a volume of 1 cubic foot. Thus, the maximum value of z is 36000 and this occurs when x = 0and y = 6000.In practical terms, this means that the maximum number of earthquake survivors whocan be helped with each plane shipment is 36000. This can be accomplished bysending 6000 medical kits.A) TrueB) False
jjackson10jayden and adeotegbeye each had some money at first. jjackson10jayden started spending $1.20 daily. After 15 days, adeotegbeye started spending 4/3 of what jjackson10jayden spent daily. When adeotegbeye spent all of his money, he had spent $11.60 more than jjackson10jayden. a) How many days did adeotegbeye take to spend all of his money? b) How much did jjackson10jayden spend in total when adeotegbeye spent all of his money?
A diet is to contain at least 1596 units of carbohydrates, 2700 units of proteins, and 2568 calories. Two foods are available: F₁ which costs $0.02 per unit and F2, which costs $0.04 per unit. A unit of food F₁ contains 2 units of carbohydrates, 5 units of proteins and 6 calories. A unit of food F₂ contains 8 units of carbohydrates, 5 units of proteins and 4 calories. Find the minimum cost for a diet that consists of a mixture of these two foods and also meets the minimal nutrition requirements. Corner points of the feasible region: If there is more than one corner point, type the points separated by a comma (i.e. (1,2),(3,4)). Minimum cost is: $ when F₁ = and F2 = units units.

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