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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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 I unit/kg of vitamin C. Food B contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs P50 per kg to purchase Food A and P70 per kg to purchase Food B. Formulate this problem as a linear programming problem to minimize the cost of such a mixture. a. Define the decisior variables b. Write the LP model's c. Determine the feasible region d. Determine the optimal solution e. Final answer: (interpret the result)
Y9 RMC, Inc., is a small firm that produces a variety of chemical products. In a particular production process, three raw materials are blended (mixed together) to produce two products: a fuel additive and a solvent base. Each ton of fuel additive is a mixture of 2⁄5 ton of material 1 and 3⁄5 of material 3. A ton of solvent base is a mixture of 1⁄2 ton of material 1, 1/5 ton of material 2, and 3⁄10 ton of material 3. After deducting relevant costs, the profit contribution is $40 for every ton of fuel additive produced and $30 for every ton of solvent base produced. RMC's production is constrained by a limited availability of the three raw materials. For the current production period, RMC has available the following quantities of each raw material: Raw Material Amount Available for Production Material 1 33 tons Material 2 9 tons Material 3 36 tons Assuming that RMC is interested in maximizing the total profit contribution, answer the following. (Assume F is the number of…
Burning fuels in power plants and motor vehicles emits carbon dioxide (CO2), which contributes to global warming. The CO2 emissions (metric tons per capita) for countries varies from 0.02 in Burundi to 44.02 in Qatar. Although the data set includes 214 countries, the CO2 emissions of 15 countries are not available on the World Bank database. The data set is too large to display but the data for the first five countries is given. Use the full data set with data on the 214 countries to answer the questions. To access the complete data set, click the link for your preferred software format: Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV Crunchlt! Country CO2 Emissions (Metric Tons per Capita) Aruba 23.92 Andorra 5.97 Afghanistan 0.43 Angola 1.35 Albania 1.61 Find the mean and the median for the full data set. Round your answers to three decimal places. The mean for these data is tons per person The median for these data is tons per person
Potatoes are ninety-nine percent water, and only one percent solid matter. In the process of dehydration of a pile of one hundred pounds of potatoes (part of the production of potato chips), water is removed from the potatoes. How much does the pile, originally (undehydrated) one hundred pounds, weigh when the potatoes (partly dehydrated) are ninety-eight percent water, and still, obviously one percent solid matter?
Gerber Mixed Cereal for Baby contains, in each serving, 60 calories, no Vitamin C, and 11 grams of carbohydrates. Gerber Mango Tropical Fruit Dessert contains, in each serving, 80 calories, 45% of the RDA of Vitamin C for infants, and 21 grams of carbohydrates. Gerber Apple Banana Juice contains, in each serving, 60 calories, 120% of the RDA of Vitamin C for infants, and 15 grams of carbohydrates.t Assume that the cereal costs 11¢ per serving, the dessert costs 50c per serving, and the juice costs 30c per serving. If you want to provide your child with at least 240 calories, at least 120% of the RDA of Vitamin C, and at least 48 grams of carbohydrates, how can you do so at the least cost? | serving(s) | serving(s) Gerber Mixed Cereal for Baby Gerber Mango Tropical Fruit Dessert Gerber Apple Banana Juice serving(s)
A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply 1 unit of protein, 2 units of carbohydrates, and 1 unit of fat. Each ounce of nuts will supply 1 unit of protein, 1 unit of carbohydrates, and 1 unit of fat. Every package must provide at least 8 units of protein, at least 12 units of carbohydrates, and no more than 11 units of fat. Let x equal the ounces of fruit and y equal the ounces of nuts to be used in each package. a. Write a system of inequalities to express the conditions of the problem. b. Graph the feasible region of the system. a. Fill in the chart. Protein Carbohydrates Fat Fruit unit(s) per ounce unit(s) per ounce unit(s) per ounce Nuts unit(s) per ounce unit(s) per ounce unit(s) per ounce .. Requirements per package At least At least No more than unit(s) unit(s) unit(s)
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.
A freshly brewed shot of espresso has three distinct components: the heart, body, and crema. The separation of these three components typically lasts only 10 to 20 seconds. To use the espresso shot in making a latte, a cappuccino, or another drink, the shot must be poured into the beverage during the separation of the heart, body, and crema. If the shot is used after the separation occurs, the drink becomes excessively bitter and acidic, ruining the final drink. Thus, a longer separation time allows the drink-maker more time to pour the shot and ensure that the beverage will meet expectations. An employee at a coffee shop hypothesized that the harder the espresso grounds were tamped down into the portafilter before brewing, the longer the separation time would be. An experiment using 24 observations was conducted to test this relationship. The independent variable Tamp measures the distance, in inches, between the espresso grounds and the top of the portafilter (i.e., the harder the…
A researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1,000s) Annual Revenue ($ millions)11.5 118 10.0 135 9.0 100 5.5 37 3.3 32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677 Total 4 8925.2 Coefficients Standard Error t Stat P-value Intercept -19.12490108 23.1658578…
In a factory, machines R, S and T are all producing metal rods of the same length. Machine R produces 35% of the rods, machine S produces 40% and the rest are produced by machine T. Of their production of rods, machines R, S and T produce 4%, 5% and 3% defective rods respectively.
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?
The body needs vitamin D in order to use calcium. An experiment is designed to study the effects of calcium and vitamin D supplements on the bones of first-year college students. The outcome measure is the total body bone mineral content (TBBMC), a measure of bone health. Two doses of calcium will be used: 0 and 300 milligrams per day (mg/day). The doses of vitamin D will be 0 and 150 international units (IU) per day. The calcium and vitamin D will be given in a single tablet. All tablets, including those with no calcium and no vitamin D, will look identical. Subjects for the study will be 30 men and 30 women. There are how many factors? and how many treatments in this design?.

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