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(11) x₁2x2 - 2x3 + x4 = 1 2x1 - x2 + 2x3 + 3x4 = −2 -x₁ - 5x2 + 7x3 - 2x4 = 3 3x14x2+3x3+4x4 = −4

(11) x₁2x2 - 2x3 + x4 = 1 2x1 - x2 + 2x3 + 3x4 = −2 -x₁ - 5x2 + 7x3 - 2x4 = 3 3x14x2+3x3+4x4 = −4

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.5: Translating Sentences Into Equations
Problem 35WE
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x12x2 2x3 + x4 = 1 2x1x2 + 2x3 + 3x4 = -2 -x15x2 +7x3 2x4 = 3 | 3x1 − 4x2 + 3x3 + 4x4 = −4 (12) A taxi company has a budget of 1008000 € to purchase 60 new cars. The company will choose from compact, mid-sized and full-sized cars to fulfill the customers requirements. The costs of the corresponding types of cars are 12000€, 19200 €and 26400€ each, respectively. Find formulas giving the options available to the company. Give two specific options. (13) Mr. and Mrs. Smith have a total of 100000 € to invest in three businesses. The first investment has a rate of return of 12%/year, while the others pay 8%/year and 4%/year, respectively. They have stipulated that the amount invested in the first business should be equal to the sum of the amount invested in second business and 3 times the amount invested in the third. How should the couple allocate their resources if they require an annual income of 10000€ from their investments? Give two specific options. (11)
Transcribed Image Text:x12x2 2x3 + x4 = 1 2x1x2 + 2x3 + 3x4 = -2 -x15x2 +7x3 2x4 = 3 | 3x1 − 4x2 + 3x3 + 4x4 = −4 (12) A taxi company has a budget of 1008000 € to purchase 60 new cars. The company will choose from compact, mid-sized and full-sized cars to fulfill the customers requirements. The costs of the corresponding types of cars are 12000€, 19200 €and 26400€ each, respectively. Find formulas giving the options available to the company. Give two specific options. (13) Mr. and Mrs. Smith have a total of 100000 € to invest in three businesses. The first investment has a rate of return of 12%/year, while the others pay 8%/year and 4%/year, respectively. They have stipulated that the amount invested in the first business should be equal to the sum of the amount invested in second business and 3 times the amount invested in the third. How should the couple allocate their resources if they require an annual income of 10000€ from their investments? Give two specific options. (11)
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