Fertilizer is sold in 100 pound bags labelled with the amount of nitrogen (N),phosphoric acid (P2O5), and potash (K2O) present. The mixture of these nutrientsvaries from one type of fertilizer to the next.For example, a 100 pound bag of Vigoro Ultra Turf fertilizer contains 29 pounds ofnitrogen, 3 pounds of phosphoric acid, and 4 pounds of potash.Another type of fertilizer, Parker's Premium Starter, has 18 pounds of nitrogen, 25pounds of phosphoric acid, and 6 pounds of potash per 100 pounds.Determine the total amount of nitrogen, phosphoric acid, and potash in the mixture of200 pounds of Vigoro and 300 pounds of Parker's.The mixture containspounds of potash.pounds of nitrogen,pounds of phosphoric acid, and

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Answered: Fertilizer is sold in 100 pound bags…

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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A factory uses ingredients A, B, C, D and E to produce products I, II, III, IV, and V. The following table shows the amounts of each ingredient in stock (in kg) as well as the amount (in kg) necessary to produce 1 tonne (=1000 kg) of each type of product. How many tonnes of each type of ingredient should they make to use up all the ingredients completely? (Note: There may be other basic ingredients, such as water, that are not relevant in the equations.) Hint: Suppose they need to make x1 equation for each of the ingredients A, B, C etc. Solve this system of equations to find your answers. tonnes of product I, x2 tonnes of product II, etc. Then set up one Hoeveelheid in voorraad (kg) Amount in stock (kg) Soort Produk I II III IV V Type of product→ Ingredient A 27 114 21 9 2780.4 B 7.5 105 6 4.5 1929.3 C 12 11.2 6.4 4.8 616.64 D 25 20 50 25 2260 E 7 5 17 7 526.3
A nutritionist is performing an experiment on student volunteers. She wants to feed one of the volunteers a daily diet that consists of a combination of three commercial diet foods: MiniCal, LiquiFast, SlimQuick. For the experiment, it is important that the volunteer consume a total of exactly 500 of potassium, 75g of protein, and 1150 IU of vitamin D every day. The amounts of these nutrients in one ounce of eacl diet food are given in the table. How many ounces of each food should the volunteer eat every day to satisfy the nutrient requirements exactly? MiniCal (1 ounce) LiquiFast (1 ounce) SlimQuick (1 ounce) Potassium (mg) 50 75 10 Protein (g) 10 3 vitamin D (IU) 90 100 50 Solve the system algebraically or use the rref in your graphing calculator to find the amount of ounces of each food needed to satisfy the nutrient requirements.
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?
This time, our immune system is the best defense. With this, a Melagail wishes to mix two types of foods in such a way that vitamin contents of the mixture contain at least 8 units of vitamin A and 10 units of vitamin C. Food A contains 2 units/kg of vitamin A and 1 unit/kg of vitamin C. Food B contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs ₱50 per kg to purchase Food A and ₱70 per kg to purchase Food B. Formulate this problem as a linear programming problem to minimize the cost of such a mixture
This time, our immune system is the best defense. With this, a Melagail wishes to mix two types of foods in such a way that vitamin contents of the mixture contain at least 8 units of vitamin A and 10 units of vitamin C. Food A contains 2 units/kg of vitamin A and 1 unit/kg of vitamin C. Food B contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs ₱50 per kg topurchase Food A and ₱70 per kg to purchase Food B. Formulate this problem as a linear programming problem to minimize the cost of such a mixture.
A dietician needs to plan a diet for a patient using two different food combinations to meet the patient’s needs. Each container of Food A contains 1 units of Additive #1 and 3 units of Additive #2. Each container of Food B contains 1 units of Additive #1 and 6 units of Additive #2. The patient needs at least 5 units of Additive #1 and at least 18 units of Additive #2. How many containers of each food should the dietician use to meet the patients needs and minimize the cost if one container of Food A costs $5 and each container of Food B costs $9?

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