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Question 2 A man had 3 children Ama, Fiifi and Ebo, whom he gave an amount of 8000 to be shared among them. At the start of the year 2020, the three siblings decided to invest their share in an interest-bearing account. They were able to negotiate different interest rate for their investment based on their negotiating skills. In particular, Ama, Fiifi and Ebo were able to negotiate 5%, 10% and 8% respectively on their investment. At the end of the year, 2018, the three siblings were able to earn a total interest of $600. In addition, supposed the amount of money given to Ebo is 300 more than the amount given by her two siblings combined. a) Write down the three linear equations. b) Represent them in the matrix form AX = B 8000 c) Find the determinant of the matrix A 600 d) Find the amount of money given to each of the 3 siblings using matrix inversion 300

Question 2 A man had 3 children Ama, Fiifi and Ebo, whom he gave an amount of 8000 to be shared among them. At the start of the year 2020, the three siblings decided to invest their share in an interest-bearing account. They were able to negotiate different interest rate for their investment based on their negotiating skills. In particular, Ama, Fiifi and Ebo were able to negotiate 5%, 10% and 8% respectively on their investment. At the end of the year, 2018, the three siblings were able to earn a total interest of $600. In addition, supposed the amount of money given to Ebo is 300 more than the amount given by her two siblings combined. a) Write down the three linear equations. b) Represent them in the matrix form AX = B 8000 c) Find the determinant of the matrix A 600 d) Find the amount of money given to each of the 3 siblings using matrix inversion 300

Advanced Engineering Mathematics
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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e Calculate the value of the maximum profit at the profit maximizing level of outnute d) Now, supposed the firm is contracted to produce a total of 20 goods of either tyne Ema the level of Q, and Q2 that maximise profit. e) Estimate the new optimal profit if the production quota increases to 24 units. X10 Question 2 A man had 3 children Ama, Fiifi and Ebo, whom he gave an amount of 8000 to be shared among them. At the start of the year 2020, the three siblings decided to invest their share in an interest-bearing account. They were able to negotiate different interest rate for their investment based on their negotiating skills. In particular, Ama, Fiifi and Ebo were able to negotiate 5%, 10% and 8% respectively on their investment. At the end of the year, 2018, the three siblings were able to earn a total interest of ¢600. In addition, supposed the amount of money given to Ebo is ¢300 more than the amount given by her two siblings combined. 600 300 a) Write down the three linear equations. b) Represent them in the matrix form AX = B c) Find the determinant of the matrix A d) Find the amount of money given to each of the 3 siblings using matrix inversion CMPLX 2 Rnd Ran# Ranlnt JI e TISC
Transcribed Image Text:e Calculate the value of the maximum profit at the profit maximizing level of outnute d) Now, supposed the firm is contracted to produce a total of 20 goods of either tyne Ema the level of Q, and Q2 that maximise profit. e) Estimate the new optimal profit if the production quota increases to 24 units. X10 Question 2 A man had 3 children Ama, Fiifi and Ebo, whom he gave an amount of 8000 to be shared among them. At the start of the year 2020, the three siblings decided to invest their share in an interest-bearing account. They were able to negotiate different interest rate for their investment based on their negotiating skills. In particular, Ama, Fiifi and Ebo were able to negotiate 5%, 10% and 8% respectively on their investment. At the end of the year, 2018, the three siblings were able to earn a total interest of ¢600. In addition, supposed the amount of money given to Ebo is ¢300 more than the amount given by her two siblings combined. 600 300 a) Write down the three linear equations. b) Represent them in the matrix form AX = B c) Find the determinant of the matrix A d) Find the amount of money given to each of the 3 siblings using matrix inversion CMPLX 2 Rnd Ran# Ranlnt JI e TISC
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