Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
The Carver Foundation funds three nonprofit organizations engaged in alternative energy research activities. From past data, the proportion of funds spent by each organization in research on solar energy, energy from harnessing the wind, and energy from the motion of ocean tides is given in the accompanying table. org,IL org.2 or93 Proportion of Money Spent Wind Solar Tides Organization I Organization II Organization III 0.6 0.3 0.1 0.4 0.3 0.3 0.2 0.6 0.2 a) Formulate a system of equations to determine the total amount awarded to each organization if the total amount spent by all three organizations on solar, wind, and tidal research is $9.2 million, $9.6 million, and $5.2 million, respectively. b) Write the system of equations obtained in part (a) in matrix equation form. c) Solve the matrix equation from part (b).

The Carver Foundation funds three nonprofit organizations engaged in alternative energy research activities. From past data, the proportion of funds spent by each organization in research on solar energy, energy from harnessing the wind, and energy from the motion of ocean tides is given in the accompanying table. org,IL org.2 or93 Proportion of Money Spent Wind Solar Tides Organization I Organization II Organization III 0.6 0.3 0.1 0.4 0.3 0.3 0.2 0.6 0.2 a) Formulate a system of equations to determine the total amount awarded to each organization if the total amount spent by all three organizations on solar, wind, and tidal research is $9.2 million, $9.6 million, and $5.2 million, respectively. b) Write the system of equations obtained in part (a) in matrix equation form. c) Solve the matrix equation from part (b).

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
See similar textbooks
icon
Related questions
Question
Part C
) The Carver Foundation funds three nonprofit organizations engaged in alternative energy research activities. From past data, the proportion of funds spent by each organization in research on solar energy, energy from harnessing the wind, and energy from the motion of ocean tides is given in the accompanying table. Proportion of Money Spent Wind Solar Tides 0.1 org,I emi Organization I Organization I Organization III 0.6 0.3 2 10 m org.? or93 8mi 0.4 0.3 0.3 0.2 0.6 0.2 a) Formulate a system of equations to determine the total amount awarded to each organization if the total amount spent by all three organizations on solar, wind, and tidal research is $9.2 million, $9.6 million, and $5.2 million, respectively. b) Write the system of equations obtained in part (a) in matrix equation form. c) Solve the matrix equation from part (b).
Transcribed Image Text:) The Carver Foundation funds three nonprofit organizations engaged in alternative energy research activities. From past data, the proportion of funds spent by each organization in research on solar energy, energy from harnessing the wind, and energy from the motion of ocean tides is given in the accompanying table. Proportion of Money Spent Wind Solar Tides 0.1 org,I emi Organization I Organization I Organization III 0.6 0.3 2 10 m org.? or93 8mi 0.4 0.3 0.3 0.2 0.6 0.2 a) Formulate a system of equations to determine the total amount awarded to each organization if the total amount spent by all three organizations on solar, wind, and tidal research is $9.2 million, $9.6 million, and $5.2 million, respectively. b) Write the system of equations obtained in part (a) in matrix equation form. c) Solve the matrix equation from part (b).
Expert Solution
Step 1

Consider the provided question,

(c)

Let x, y and z represents the three organizations (I, II and III) that spent amount on solar, wind and tidal energy respectively.

According to the given question, the system of equations is written as,

0.6x+0.4y+0.2z=9.20.3x+0.3y+0.6z=9.60.1x+0.3y+0.2z=5.2

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Area of a Circle
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS