Consider an economy with three sectors, Chemicals & Metals, Fuels & Power, and Machinery. Chemicals sells 30% of its output to Fuels and 50% to Machinery andretains the rest. Fuels sells 70% of its output to Chemicals and 20% to Machinery and retains the rest. Machinery sells 20% of its output to Chemicals and 40% toFuels and retains the rest. Complete parts (a) through (c) below......a. Construct the exchange table for this economy.Distribution of Output from:ChemicalsFuelsMachinery Purchased by:ChemicalsFuelsMachinery(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 augmented matrix that can be rowreduced to find these prices. The first, second, and third columns of the matrix should correspond to Chemicals, Fuels, and Machinery, respectively.The augmented matrix is(Type an integer or decimal for each matrix element.)c. Find a set of equilibrium prices when the price for the Machinery output is 10 units.PchemicalsPFuelsPMachinery(Type integers or decimals rounded to the nearest tenth as needed.)

Chemicals sell 30% to Fuel . 50% to machinery so put 0.30 in first column against Fuels and 0.50…

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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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%?
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 millioneach, 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 $4350 million for the purchase of new aircraft to seat a total of 4950 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?
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:
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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
3. Modified Exercise 2.36 A restaurant offers three ways of paying the bill: cash, credit card, and mobile payment (e.g., Apple Pay, Google Wallet). At the end of the day there were 200 paid bills. Some of the bills were paid with a mix of cash, credit card, and mobile payment. There were 36 bills paid with cash, 82 bills paid with credit card, and 113 bills paid by mobile payment. There were 8 bills that used cash and credit card, 13 bills that used cash and mobile payment, and 15 bills that used credit card and mobile payment. Five of the bills were paid with all three methods. (a) If two distinct bills are chosen at random, what is the probability that at least one was paid using two or more methods? (b) Suppose that a bill chosen at random and was paid using two or more methods. What is the probability it was paid with all three methods? (c) If a bill is chosen at random, what is the probability that the bill was paid fully using only one of the methods? (d) Suppose that a bill…

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