An economy consists of coal, electric, and steel sectors. For each $1.00 of output, the coal sector needs $0.01 worthof coal, $0.04 worth of electric, and $0.05 worth of steel; the electric sector needs $0.12 worth of coal, $0.03 worth ofelectric, and $0.08 worth of steel, and the steel sector needs $0.22 worth of coal and $0.02 worth of steel. Supposethat $4 billion of coal, $6 billion of electricity, and $5 billion of steel are produced. How much of each industry's outputwill be available for consumption?wwwThere will bebillion of coal, $ billion of electricity, and billion of steel available for consumption.(Type integers or decimals.)

Answered: Image /qna-images/answer/5f7a8777-e4ab-4bba-bf28-363269532767.jpg

Answered: An economy consists of coal, electric,…

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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An oil company has two refineries. Each day, Refinery A produces 200 barrels of high-grade oil, 300 barrels of medium-grade oil, and 200 barrels of low-grade oil and costs $12,000 to operate. Each day, Refinery B produces 100 barrels of high-grade oil, 100 barrels of medium-grade oil, and 200 barrels of low-grade oil and costs $10,000 to operate. The company must produce at least 800 barrels of high-grade oil, 900 barrels of medium-grade oil, and 1,000 barrels of low-grade oil. What is the minimum cost to operate both refineries? Do not include a comma in your answer.
A business has two types of employees - managers and workers. Managers earn either $100,000 or $200,000 a year. Workers earn either $10,000 or $20,000 a year. The number of male and female managers at each salary level are shown in the first table below. The number of male and female workers at each salary level are shown in the second table below. Managers $100,000 $200,000 Male 80 20 Female 20 30 Workers $10,000 $20,000 Male 30 20 Female 20 80 These tables are converted to row percentages below: Managers $100,000 $200,000 Male 80% 20% Female 40% 60% Workers $10,000 $20,000 Male 60% 40% Female 20% 80% Looking at the data, females make more money than males, within both employee types. For example, 60% of female managers are at the higher salary level, while only 20% of male managers are at this level. Also, 80% of female workers are at the higher salary level, while only 40% of males are at this level. When the data is broken…
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A simplified economy consists of the two sectors Transportation and Energy. For each $1 worth of output, the transportation sector $0.44 worth of input from the transportation sector and $0.28 of input
A company manufactures paring knives and pocket knives. Each paring knife requires 3 labor-hours, 7 units of steel, and 4 units of wood. Each pocket knife requires 6 labor-hours, 5 units of steel, and 3 units of wood. The profit on each paring knife is $3, and the profit on each pocket knife is $5. Each day the company has available 102 labor-hours, 157 units of steel, and 123 units of wood. Suppose that the number of labor-hours that are available each day is increased by h. For what values of h will a change of h labor-hours not change the shadow price of labor? The shadow price of labor will not change for shs. (Simplify your answers.)
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 corporation has a plastics division and an industrial equipment division. For each $1 worth of output, the plastics division needs $0.02 worth of plastics and $0.1 worth of industrial equipment. For each $1 worth of output, the industrial equipment division needs $0.01 worth of plastics and $0.05 worth of industrial equipment. At what level should the divisions produce to meet a consumer demand of $930,000 worth of plastics and $465,000 worth of industrial equipment? Write the input-output matrix A. Write the consumer demand matrix D. Find the production matrix X
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An economy is based on three sectors-agriculture, manufacturing, and services. For each unit of output, agriculture requires inputs of 0.30 unit from agriculture, 0.30 unit from manufacturing, and 0.30 unit from services. For each unit of output, manufacturing requires inputs of 0.30 unit from agriculture, 0.20 unit from manufacturing, and 0.20 unit from services. For each unit of output, services requires 0.20 unit from agriculture, 0.30 unit from manufacturing, and 0.30 unit from services. Determine the production levels needed to satisfy a final demand of 0 units for agriculture, 50 units for manufacturing, and 0 units for services. The production level needed from the agricultural sector is units. (Do not round until the final answer. Then round to two decimal places as needed.)
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