=Consider an economy with three sectors, Chemicals & Metals, Fuels & Power, and Machinery. Chemicals sells 30% of its output to Fuelsand 50% to Machinery and retains the rest. Fuels sells 80% of its output to Chemicals and 10% to Machinery and retains the rest.Machinery sells 40% of its output to Chemicals and 30% to Fuels and retains the rest. Complete parts (a) through (c) below.a. Construct the exchange table for this economy.Distribution of Output from:Chemicals Fuels0.20.80.30.5Machinery0.40.30.3Purchased by:ChemicalsFuelsMachinery0.10.1(Type integers or decimals.)b. Develop a system of equations that leads to prices at which each sector's income matches its expenses. Then write the augmentedmatrix that can be row reduced to find these prices. The first, second, and third columns of the matrix should correspond to Chemicals,Fuels, and Machinery, respectively.The augmented matrix is0.80.8 0.4 00.3 -0.9 0.5 00.5 0.1 -0.9 0(Type an integer or decimal for each matrix element.)

Given that Consider that there is an economy with three sectors. Let x Chemicals y Fuels z…

Answered: Consider an economy with three sectors,…

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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Kataleigh company manufactures dining room tables and chairs each table requires 50 board feet and 3 hours of labor. Each chair takes 20 board feet and 4 hours of labor.The manufacturer has 3,300 board feet of lumber available and a staff table to provide 380 hoursof labor. Finally, the manufacturer has determined that there is a net profit of P100 for each chairsold and P200 for every table sold.For simplicity, we assume that needed materials (such as nailand varnish) are insufficient quantities. How many table and chairs should the companymanuffacture in order to maximize its profits, assuming that each item manufactured is sold.Use Simplex Method to solve the problem.
In Example 2 we saw that Airbus A330-300s seat 330 passengers and cost $250 million each, Boeing 767-300ERs seat 270 passengers and cost $200 million each, while Boeing Dreamliner 787-9s seat 240 passengers and cost $250 million each. You are the purchasing manager of an airline company and have a spending goal of $4800 million for the purchase of new aircraft to seat a total of 5940 passengers. Your company has a policy of supporting U.S. industries, and you have been instructed to buy twice as many Boeings as Airbuses. Given the selection of three aircraft, how many of each should you order? Airbus A330-300sBoeing 767-300ERsBoeing Dreamliner 787-9s
1.You are choosing between two texting plans. Plan A has a monthly fee of $15 with a charge of $0.08 per text. Plan B has a monthly fee of $3 with a charge of $0.12 per text. How many text messages in a month make plan A the better deal. 2. You invested $8000 in two funds paying 2% and 5% investment exceeded the interest from the 5% investment exceeded the interest from the 2% investment by $85. How much money was invested at the rate 2%?
Complete the table below and write the solution.
5 In preparing for the upcoming holiday season, Fresh Toy Company (FTC) designed new doll called The Dougie that teaches children how to dance. The fixed cost to produce the doll is $100,000. The variable cost, which includes material, labor, and shipping costs, is $34 per doll. During the holiday selling season, FTC will sell the dolls for $42 each. If FTC overproduces the dolls, the excess dolls will be sold in January through a distributor who has agreed to pay FTC $10 per doll. Demand for new toys during the holiday selling season is extremely uncertain. Forecasts are for expected sales of 60,000 dolls with a standard deviation of 15,000. The normal probability distribution is assumed to be a good description of the demand. FTC has tentatively decided to produce 60,000 units (the same as average demand), but it wants to conduct an analysis regarding this production quantity before finalizing the decision. (a) Create a what-if spreadsheet model using a formula that relates the…
In Example 2 we saw that Airbus A330-300s seat 330 passengers and cost $250 million each, Boeing 767-300ERs seat 270 passengers and cost $200 million each, while Boeing Dreamliner 787-9s seat 240 passengers and cost $250 million each. You are the purchasing manager of an airline company and have a spending goal of $4850 million for the purchase of new aircraft to seat a total of 5910 passengers. Your company has a policy of supporting U.S. industries, and you have been instructed to buy twice as many Boeings as Airbuses. Given the selection of three aircraft, how many of each should you order? Airbus A330-300s: Boeing 767-300ERs: Boeing Dreamliner 787-9s:
3. Investments Nui invests $10,000, received from her grandmother, in three ways. With one part, she buys mutual funds that offer a return of 6.5% per year. She uses the second part, which amounts to twice the first, to buy government bonds at 6% per year. She puts the rest in the bank at 5% annual interest. The first year her investments bring a return of $605. How much did she invest in each way?
In Example 2 we saw that Airbus A330-300s seat 330 passengers and cost $250 million each, Boeing 767-300ERS seat 270 passengers and cost $200 million each, while Boeing Dreamliner 787-9s seat 240 passengers and cost $250 million each. You are the purchasing manager of an airline company and have a spending goal of $4950 million for the purchase of new aircraft to seat a total of 5850 passengers. Your company has a policy of supporting U.S. industries, and you have been instructed to buy twice as many Boeings as Airbuses. Given the selection of three aircraft, how many of each should you order? Airbus A330-300s Boeing 767-300ERS Boeing Dreamliner 787-9s I
Kimberly works four days per week, Monday through Thursday. She rides the Metropolitan Transit System bus to and from work. The bus cost schedule is shown in the table below. If Kimberly has three weeks of vacation each year, what type of bus ticket should Kimberly buy to save the most money each year? Metropolitan Transit System Bus Pricing single ride: adult/youth: $2.25 senior/disabled/Medicare: $1.10 children 5 and under: free when accompanied by a paying adult 1-day pass: $5.00 2-day pass: $9.00 4-day pass: $15.00 14-day pass: $43.00 monthly pass: adult: $72.00 18 & under: $36.00 senior/disabled/Medicare: $18.00
A computer manufacturer buys 30% of its chips from supplier A and the rest from supplier B. Two percent of the chips from supplier A are defective, as are 4% of the chips from supplier B. Approximately what percentage of the defective chips are from supplier B?

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