Solve the following using Gauss-Jordan elimination. Show complete solution. x + 2y + 2z = 23x2y - z= 51.2х - 5 у + 32 %3D -4x+ 4y + 6z = 0X, - 3x2 + 4x3 - 2x4 = 52.2x, +5x3 + x4 = 2X2 - 3x3 = 4X1 +2x2 - 4x3 = 3X1 - 2x2 +3 x3 = -13. 2x, +3x2 - X3 = 54x, + 3x2 - 2x 3 = 75x, + 2x2 - 6x 3 = 7%3D%3D

Answered: Image /qna-images/answer/88c37d45-5df3-49fc-8a62-4b249d5344a7.jpg

Answered: х+ 2у+2z 2 |3х - 2у- 235 1. 2х - 5 у +…

Math

Advanced Math

х+ 2у+2z 2 |3х - 2у- 235 1. 2х - 5 у + 32 %3D-4 х+4у + 62 - 0

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 8T

See similar textbooks

Similar questions

If to produce 1 kg of mix A costs $12.50, 1 kg of mix B costs $12.40 and 1 kg of mixC costs $11.70, determine the cost per kilogram of each different kind of nut. Hence,find the cost per kg to produce a mix containing 400 gram of Cashews nuts, 200 gramof Macadamias nuts and 400 grams of Brazil nuts.
Suppose that you want to blend two coffees in order to obtain a new blend. The blend will be made with the best Arabica beans that sell for $9.00 per pound and select African Robustas that sell for $11.50 per pound to obtain 100 pounds of the new blend. The new blend will sell for $10.00 per pound and there will be no difference in revenue from selling the new blend versus selling the beans separately. How many pounds of the Arabica and Robusta beans are required?
An oil reﬁnery produces low-sulfur and high-sulfur fuel. Each ton of low-sulfur fuel requires 5 minutes in the blending plant and 4 minutes in the reﬁning plant; each ton of high-sulfur fuel requires 4 minutes in the blending plant and 2 minutes in the reﬁning plant. If the blendiing plant is available for 3 hours and the reﬁning plant is available for 2 hours, how many tons of each type of fuel should be manufactured so that the plants are fully used?
A confectioner sells two types of nut mixtures. The standard-mixture package contains 100 g of cashews and 200 g of peanuts and sells for $1.70. The deluxe-mixture package contains 150 g of cashews and 50 g of peanuts and sells for $2.25. The confectioner has 15 kg of cashews and 20 kg of peanuts available. On the basis of past sales, the confectioner needs to have at least as many standards as deluxe packages available. How many bags of each mixture should he package to maximize his revenue?
A confectioner sells two types of nut mixtures. The standard-mixture package contains 100 g of cashews and 200 g of peanuts and sells for $1.80. The deluxe-mixture package contains 150 g of cashews and 50 g of peanuts and sells for $2.15. The confectioner has 15 kg of cashews and 20 kg of peanuts available. On the basis of past sales, the confectioner needs to have at least as many standard as deluxe packages available. How many bags of each mixture should he package to maximize his revenue?
A company undertakes both construction of new houses and also the repair and renovation of old building. Due to the competition in the market, it has become necessary for the company’s long term plans to obtain a suitable mix of new houses and repair work each year. For planning purpose, the profit on new houses is taken to be 20% of their total value whereas on repair and renovation is 25%. To avoid the problem of having to acquire large amount of land for the building of new houses, the company always plan for at least ¢4,000,000 of repair and renovation work each year but at the same time the company ensures that repairs and renovation do not account for more than half of their total work load. Furthermore, in costing all new and repair work, 5% of the total value of the work load is included to cover the company’s actual fixed overheads which have been estimated at ¢500,000 for the coming year. The other major consideration is the amount of skilled labour which is available. It has…
A merchant wants to combine two classes of peanuts with nuts which costs are, respectively, of $1.5, $2.5 and $4 per pound. He wants to obtain 130 pounds of the mix that costs $3 per pound. How many pounds of each class will he need to use if he also wants the quantity of the peanuts of the cheapest variety, to be the double of the most expensive variety?
A political mailing will have several pages on the economy, the military, and the environment. The total number of these pages in the booklet should not be greater than 110, including at most 20 pages on the economy. For the target group that will receive the booklet, market research suggests that there will be a positive impact proportional to 5 times the number of pages on the economy, a positive impact proportional to 3 times the number of pages on the military, and a positive impact proportional to 2 times the number of pages on the environment. The editor insists that the number of pages on the environment be at least twice as many as the number on the military. Find the number of pages that should be devoted to the economy, the military, and the environment. (Hint: Write the constraint involving environment and military pages in the form ≤0.)
A confectioner sells two types of nut mixtures. The standard-mixture package contains 100 g ofcashews and 200 g of peanuts and sells for $1.85. The deluxe-mixture package contains 150 gof cashews and 50 g of peanuts and sells for $2.35.The confectioner has 15 kg of cashews and 20 kg of peanuts available. On the basis of pastsales, the confectioner needs to have at least as many standard as deluxe packages available.How many bags of each mixture should she package to maximize her revenue?
A diesel engine uses type A filter and high-grade lubricating oil costing P55 per liter. With this filter, the oil and the filter have to be changed every 500hrs. of operation, and 5L of oil have to be added every 100hrs. This filter costs P1480 a piece. Eighty liters of oil fill the engine. Another type, filter B, costing of P1200 may be used with a lower grade of oil costing P48 per liter. However, if this filter is used, the oil and filter have to be changed every 300hrs and 10 liters are added after each 150hrs the engine is used. Hint: Consider the cost per hour.
A manufacturer who is a monopolist makes two types of lamps. From experience the manufacturer has determined that if x lamps of the first type and y lamps of the second type are made, they can be sold at for(100-2x) dollars each and (125-3y) dollars each respectively. The cost of manufacturing x lamps of the first type and y lamps of the second type is (12x+11y+4xy) dollars. How many lamps of each type should be produced in order to realize the greatest profit, and what is the greatest profit?
A state university is buying computers and has narrowed it down to two different models that they would like to purchase, the Pear and the iNac. Each Pear has 250 GB of memory and 160 TB of disk space and each iNac has 500 GB of memory and 80 TB of disk space. For accreditation reasons the school would like to be able to say they have a total of at least 70000 GB of memory and at least 20800 TB of disk space. If the Pears cost $1000 each and the iNacs cost $2100 each, how many of each computer should they get to minimize cost.