A mining company owns two mines. These minesproduce an ore that can be graded into twoclasses: regular grade and low grade. Thecompany must produce at least 420 tons of regular- grade and 520 tons of low-grade ore per week.The first mine produces 6 tons of regular - gradeand 18 tons of low-grade ore per hour. Thesecond mine produces 18 tons of regular - gradeand 9 tons of low-grade ore per hour. Theoperating cost of the first mine is $7000 per hour,and the operating cost of the second mine is $22,000 per hour. The first mine can be operated nomore than 37 hours a week, and the second minecan be operated no more than 28 hours a week.How many hours perweek should each mine beoperated to minimize the cost?

Answered: Image /qna-images/answer/f425c94f-526f-42f9-acf2-91f961a835fa.jpg

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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(I) the amount of canvas needed to cover this Tempo shelter. Note that thisShelter contains five canvases, two canvases for the walls, two canvases for the roof and one for the back wall. There's no canvas on the front of the shelter.(ii) the company's net profit for 10 identical Tempo shelter facilities.Please note that the canvas sells for $ 10.95 / m2 and we can sew it andcut it as we wish. The hourly salary of employees of " allto roof " is $ 17 / h and an employee works for six hours in order to sewshelter. The price charged to customers for a Tempo shelter is $1,600. Choices of awnsersa) i. 20,45 m2 ii. 12 740,70 $b) i. 16,20 m2 ii. 13 658, 70 $c) i. 15,72 m2 ii. 1 274,07 $d) i. 12,35 m2 ii. 13 206, 10 $
Researchers are investigating the effectiveness of using a fungus to control the spread of an insect that destroystrees. The researchers will create four different concentrations of fungus mixtures: 0 milliliters per liter (ml/L),1.25 ml/L, 2.5 ml/L, and 3.75 ml/L. An equal number of the insects will be placed into 20 individual containers.The group of insects in each container will be sprayed with one of the four mixtures, and the researchers willrecord the number of insects that are still alive in each container one week after spraying. (a) Identify the treatments, experimental units, and response variable of the experiment.Treatments:Experimental units:Response variable:
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.
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
There are 10 forging presses in the forge shop of a small company. The shop produces batches of forgings requiring a setup time of 2.0 hours for each production batch. Average standard time for each part in a batch is 30 seconds, and there are an average of 500 parts in a batch. The plant workforce consists of two workers per press, one foremen, plus two clerical support staff. (a) Determine how many forged parts can be produced in 1 month, if there are 8 hours worked per day and an average of 21 days per month at one shift per day. (b) What is the labor productivity ratio of the forge shop, expressed as parts per worker-hour?
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
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.)
The quarrying cost of marble and granite blocks plus delivery cost to the processing plant is ₱9,600 per cubic meter. Processing cost of marble into tiles is ₱800 per square meter and that of granite into tiles also is ₱2,400 per square meter.A marble has a net yield of 40 square meters of tiles per cubic meter of block and sell at ₱1600 per square meter, and granite gives a net yield of 50 square meters of tiles per cubic meter of block and sells at ₱4,000 per square meter. Considering all other cost to be the same, determine the more profitable material and by how much. Solve and show the solution.
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?
Researchers are investigating the effectiveness of using a fungus to control the spread of an insect that destroystrees. The researchers will create four different concentrations of fungus mixtures: 0 milliliters per liter (ml/L),1.25 ml/L, 2.5 ml/L, and 3.75 ml/L. An equal number of the insects will be placed into 20 individual containers.The group of insects in each container will be sprayed with one of the four mixtures, and the researchers willrecord the number of insects that are still alive in each container one week after spraying. (c) Describe how the treatments can be randomly assigned to the experimental units so that each treatmenthas the same number of units.
A mining company has two mines. One day's operation at mine #1 produces ore that contains 10 metric tons of copper and 590 kilograms of silver, while one day's operation at mine 10 and V₂ = #2 produces ore that contains 20 metric tons of copper and 550 kilograms of silver. Let v₁ 20 550 Then v₁ and v₂ represent the "output per day" of mine #1 and 590 mine #2, respectively. Complete parts (a) through (c) below. a. What physical interpretation can be given to the vector 2v₁? O A. It is the output of copper at mine #1 after 2 days of operation. B. It is the output at mine #1 after 2 days of operation. O C. It is the output at mine #2 after 2 days of operation. OD. It is the output of silver at mine #1 after 2 days of operation. C... b. Suppose the company operates mine #1 for x₁ days and mine #2 for x₂ days. Write a vector equation in terms of v₁ and v₂ whose solution gives the number of days each mine should operate in order to produce 72 tons of copper and 2610 kilograms of silver. Do…

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