22) A factory makes three types of granola cereal: Plain, Nutty, andChewy. Each batch of Plain uses 1 ounce of toasted oats, 1ounce of almonds, and 1 ounce of raisins. Each batch of Nuttyuses 1 ounce of toasted oats, 4 ounce of almonds, and 2 ouncesof raisins Each batch of Chewy uses 1 ounce of toasted oats, 4ounces of almonds, and 3 ounces of raisins. Given that theexisting stock contains 6 ounces of toasted oats, 21 ounces ofalmonds, and 13 ounces of raisins, how much of each should bemade? Solve the system by using Cramer's Rule.a) Write a system of equations for the problem. Define variables.b) Write each of the four determinants needed to complete theproblem. DO NOT EVALUATE THEM UNTIL PART ©. Label eachdeterminant.c) Solve the system using Cramer's Rule. Show all work. Labelyour answers. SOLVE THE 'D' DETERMINANT USING CO-FACTORS AND MINORS.

Let us consider the system of equation AX=b Now, the solution of the system using the cramer's rule…

Answered: 2 2) A factory makes three types of…

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 Holiday Meal Turkey Ranch is considering buying two different brands of turkey feed and blending them to provide a good, low cost diet for its turkeys. Each brand of feed contains, in varying proportions, some or all of the three nutritional ingredients essentials for fattening turkeys. Each kilogram of brand 1 contains 5 grams of ingredients A, 4 grams of ingredient B and 0.5 grams of ingredient C. Each kilogram of brand 2 contains 10 grams of ingredient A, 3 grams of ingredient B but nothing of ingredient C. The brand 1 feed costs the Ranch ksh20 a kilogram, while the brand 2 feed costs ksh30 a kilogram.The minimum monthly requirement per turkey is 90 grams of ingredient A, 48 grams of ingredient B and 15 grams of ingredient C.a) Formulate an LP model to help the rancher decide how to mix the two brands of turkey feed so that the minimum monthly intake requirement for each nutritional ingredient is met at minimum cost. b) Use the graphical approach to solve this mode
Zaphod Beeblebrox is mixing drinks that contain three ingredients: Ol' Janx Spirit (ingredient A), water from the seas of Santraginus V (ingredient B) and Arcturan Mega-gin (ingredient C). On his shelf he has three mixtures M1, M2 and M3 containing ingredients A, B and C. The table below is showing the amounts in decilitres of ingredients A, B and C that are contained in 11 of each of the mixtures (11=10dcl). M1 M2 M3 ingredient A 3 ingredient B 3 4 1 ingredient C 5 3 (a) Zaphod made a new mixture using 31 of M1, 21 of M2 and 11 of M3. Determine the amount of each type of ingredient in this mixture. (b) A recipe for Pan Galactic Gargle Blaster requires a mixture that contains 2dcl of ingredient A, 3dcl of ingredient B and 5dcl of ingredient C. Zaphod wants to prepare it using mixtures M1, M2 and M3. What is the minimal and what is the maximal amount of mixture M3 that he can use?
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?
1. There are 165 calories in three original Oreo cookies and 180 calories in two Triple Double version (3 wafers with 2 layers of filling in each cookie). Find the number of calories in one wafer and one layer of filling.
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)
You would like to make a nutritious meal of eggs, edamame, and elbow macaroni. The meal should provide at least 30 g of carbohydrates, at least 20 g of protein, and no more than 60 g of fat. An egg contains 2 g of carbohydrates, 17 g of protein, and 14 g of f A serving of edamame contains 12 g of carbohydrates, 12 g of protein, and 6 g of fat. A serving of elbow macaroni contains 43 g of carbohydrates, 8 g of protein, and 1 g of fat. An egg costs $2, a serving of edamame costs $5, and a serving of elbow macaroni costs $3. Formulate a linear optimization model that could be used to determine the number of servings of egg, edamame, and elbow macaroni that should be in the meal in order to meet the nutrition requirements at the minimal cost. a) Define the decision variables. b) Write down the objective function. c) Write down the constraints.type solution pls
A diet supplies 0.8 grams of calcium per day, in addition to the nutrients listed in the table to the right. The amounts of calcium per unit (100 g) supplied by the three ingredients in the diet are as follows: 1.25 g from nonfat milk, 0.18 g from soy flour, and 0.8 g from whey. Another ingredient in the diet mixture is isolated soy protein, which provides the following nutrients in each unit: 78 g of protein, 0 g of carbohydrate, 3.6 g of fat, and 0.15 g of calcium. Complete parts (a) and (b) below. 0.42 X₁ x2 X3 11 34 45 3 0.8 CIES X4 (Type an integer or decimal for each matrix element.) Amounts (g) Supplied per 100 Amounts (g) g of Ingredient Supplied by Diet in One Day a. Set up a matrix equation whose solution determines the amounts of nonfat milk, soy flour, whey, and isolated soy protein necessary to supply precise amounts of protein, carbohydrate, fat, and calcium in the diet. Nutrient Nonfat Soy Whey Milk flour 36 Protein Carbohydrate 52 0 Fat 50 14 33 75 7 1.2 34 45 3
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)
During a typical school day, Sally recorded eating the following:For breakfast:½ cup of cooked porridge (made with 200mls of full fat cows milk)2 tablespoons of maple syrup on his porridge250mls of apple drinkSally’s lunch tray consisted of:150g high fat yoghurt Can of Sprite (330mls)Two servings of hotdogs1 apple (which she gives away)½ cup mixed vegetablesBarbecue sauceOn the way home from school Sally drank the following:Gatorade sports drink (500mls)For dinner Sally ate the following:One fillet of fish – battered and deep friedDeep fried fries (equivalent to one medium sized potato)One jam donutChocolate flavoured milk (full fat milk – 250mls)Snack before bed:Ham sandwich (2 slices of white bread and 1 slices of cheese) Q1: How many servings of fruit and vegetables did Sally eat? How many servings of milk and milk products did Sally eat?
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.

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