In 2001, 400 seat Boeing 747s were priced at $200 million each, 300 seat Boeing 777s were priced at $160 million, and 200 passenger Airbus A321s were priced at $60 million. Suppose you were the purchasing manager of an airline company and had a $2100 million budget to purchase new aircraft to seat a total of 4500 passengers. Your company has a policy of supporting U.S. industries, and you have been instructed to purchase twice as many Boeing planes as Airbus planes. How much of each of the three planes (747, 777, and A321) should you order? (Please show all work)
a.) Identify the three variables.
c.) Solve your system using the Gauss-Jordan elimination matrix method.© BrainMass Inc. brainmass.com October 17, 2018, 12:17 pm ad1c9bdddf
a) Let x, y, z be the number of planes which should be orders for 400 seat Boeing 747s, 300 seat Boeing 777s and 200 passenger Airbus A321s respectively.
b) So the system of equations is
400x+300y+200z=4500 --- (1)
200x+160y+60z = 2100 --- (2)
x + y = 2z --- (3) ...
The solution gives detailed steps on setting and solving linear system of equations using the example of plane order. A Gauss-Jordan elimination matrix method is used in steps.
Need assistance on summarizing systems of linear equations and sets/counting.
As a business owner there are many decisions that you need to make on a daily basis, such as ensuring you reach the highest production levels possible with your company's products. Your company produces two models of bicycles:
Part I: using this scenario, solving by using each technique,of Graphing, Substitution, Elimination and Matrix solution
Model A and Model B. Model A takes 2 hours to assemble, where Model B takes 3 hours to assemble.
Model A costs $25 to make per bike where Model B costs $30 to make per bike.
If your company has a total of 34 hours and $350 available per day for these two models, how many of each model can be made in a day?
Solve the equations for model A and model B,Explain how to check solution for each of these equations.
Part II: Universal sets have many applications in the real world.
Explain what the differences between permutations and combinations.
Give a real-world example of how permutations and combinations can be used.
Explain what your numeric result means in context of the real-world application.
Follow up with explaining how these systems of linear equations or algebra sets would be most applicable in personal or professional real-world situations.Give specific example.View Full Posting Details