A mining company owns two mines. These mines produce an ore that can be graded into two classes: regular grade and low grade. The company must produceat least 350 tons of regular-grade and 610 tons of low-grade ore per week. The first mine produces 5 tons of regular-grade and 17 tons of low-grade ore perhour. The second mine produces 20 tons of regular-grade and 10 tons of low-grade ore per hour. The operating cost of the first mine is $18,000 per hour, andthe operating cost of the second mine is $10,000 per hour. The first mine can be operated no more than 54 hours a week, and the second mine can be operatedno more than 27 hours a week. How many hours per week should each mine be operated to minimize the cost?Note that the ALEKS graphing calculator can be used to make computations easier.First mine:Second mine:hour(s)hour(s)XS© 2023 McGraw Hill LLC. All Rights Reserved. Terms of UseDIIF9SubmPrivacy CF10

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Answered: A mining company owns two mines. These…

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 number of patrol officers needed on staff depends on the crime rate of the county, which is calculated based on the number of crimes per year. At a 3% crime rate, the county hires 200 officers per 10,000 people in the population. For every 0.1% increase in crime rate, an additional 5 officers are hired per 10,000 people in the population. For every 0.1% below 3% crime rate, 3 fewer officers are hired. • A3% sign-on bonus is offered for officers with no experience when there is a 5% to 10% shortage in the number of officers employed. • A 5% sign-on bonus is offered for officers with no experience when there is an 11% or higher shortage in the number of officers employed. • A 6% sign-on bonus is offered for officers with at least 3 years of experience when there is a 5% to 10% shortage in the number of officers employed. A 10% sign-on bonus is offered for officers with at least 3 years of experience when there is an 11% or higher shortage in the number of officers employed. County…
Select the correct answer. A veterinarlan is mixing three different types of feed to produce a mixture that contains 44 grams of fat, 48 grams of carbohydrates, and 132 grams of protein. • Each serving of the first type of feed, x, contains 11 grams of fat, 24 grams of carbs, and 3 grams of protein. Each serving of the second type of feed, y, contains 4 grams of fat, 8 grams of carbs, and 31 grams of protein. • Each serving of the third type of feed, z, contains 10 grams of fat, 0 grams of carbs, and 18 grams of protein. Which matrix represents the system of equations that will give the number of servings of each type of feed the veterinarian should include? O A. 3 11 4 10 24 8 31 18 44 48 132 11 4 101 O B. 24 8 0 3 31 18 C. |組 O D. 4 10 44 24 8 0 48 3 31 18 132 All rights reserved.
Your company decides to conduct some production analysis for two of its most popular brands of cups. A carton of Brand X takes 10 hours to produce and 5 hour to package. A carton of Brand Y takes 15 hours to produce and 25 hours to package. If there are exactly 300 hours per month for production and exactly 325 hours per month for packaging, complete the following questions to determine how many cartons of each type of cup will be ready for shipping using all the available time. Create a system of equations for the situation using r for Brand X of cups and y for Brand Y of cups. Equation 1: Equation 2: Graph the system of equations on the grid provided: +30+ 28 26 24 22 20 18 10 14 12 10 2. 4 8 10 12 14 16 18 20 22 24 Clear All Draw:
A toy factory creates miniature steel train engines and box cars. The fabrication department has 5,279 minutes available per week and the assembly and finishing department has 5,999 minutes available per week. Manufacturing one miniature steel train engine requires 12 minutes of fabrication and 10 minutes of assembling and finishing. Manufacturing one miniature steel box car requires 6 minutes of fabrication and 10 minutes of assembling and finishing. The profit on each miniature steel train engine is $9.50 and the profit on each miniature steel box car is $8.25. How many steel train engines and steel box cars should be produced each week to obtain the maximum profit? Find the maximum weekly profit. (Use x for box car and y for train engine.) Maximize P = ≤5, 279 5,999 subject to Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes below. If more than one solution exists, enter only one of the multiple solutions below. If needed round toys to…
1. Juan has a net monthly income of $4800 and is willing to spend 11% of that income on groceries, and % on entertainment. How much money does he devote to each category?
A manufacturer makes two types of tractors, the X-Harvester and the Y-Combine. The time for assembling is 3 hours for the X and 4 hours for the Y. The total assembly time allotted is 8,400 hours. Finishing the machines takes 3 hours for the X, 2.5 hours for Y. Total finishing time allotted is 5,700 hours. Packing takes 0.8 hour for X, 0.4 hour for Y. Total packing time is 1,340 hours. Profit (P) is $30,000 for each X-Harvester and $37,500 for each Y-Combine. (Use the variables X and Y, capitalized.) a) Give the objective function. Profit= b) List all 5 constraints. c) List the corners of the constraint graph. (A manufacturer can produce a fraction of a machine in this period, to be finished and sold in the next period.) d) Evaluate the objective function at the corners. i) What is the maximum profit? ii) How many of each type of tractor should this manufacturer produce? X-Harvesters Y-Combines
You have 40 sheep, and can get a 2/3 of a bushel of wool from each. You want to buy 1100 bricks from the kiln to enclose a sheepfold to protect your flock. The kiln operator charges a shekel of copper for each 5 bricks. The trader from Anatolia wants as much wool as possible, and will give you 7 shekels of copper for each bushel. So obviously you want to sell your wool to the trader, and then buy the bricks. Write this out as an algebraic problem. Give names for all of the quantities, such as sheep, shekels, etc. But can you buy the 1100 bricks you need? How many bushels of wool extra would you have beyond what you need for the bricks, or how many are you missing? How many sheep does that represent?
parts a and b plewse
A publishing company sells 400,000 copies of a certain book each year. Ordering the entire amount printed at the beginning of the year ties up valuable storage space and capital. However, printing the copies in several partial runs throughout the year results in added costs for setting up each printing run, which costs $1000. The carrying costs, figured on the average number of books in storage, are $.50 per book. Find the most economical lot size, that is, the production run size that minimizes the total setting up andcarrying costs.
A mining company owns two mines. These mines produce an ore that can be graded into two classes: regular grade and low grade. The company must produce at least 410 tons of regular-grade and 530 tons of low-grade ore per week. The first mine produces 6 tons of regular-grade and 16 tons of low-grade ore per hour. The second mine produces 20 tons of regular-grade and 10 tons of low-grade ore per hour. The operating cost of the first mine is $9000 per hour, and the operating cost of the second mine is $30,500 per hour. The first mine can be operated no more than 55 hours a week, and the second mine can be operated no more than 29 hours a week. How many hours per week should each mine be operated to minimize the cost? First Mine: __ hours Second Mine:__ hours
Need only a handwritten solution only (not a typed one).
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.)

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