# Thread: Work problem: No solution yet

1. ## Work problem: No solution yet

Please help me with the second part of this problem as I am really stuck. I have the equations listed after the problem, but don't think they are correct.

I) Anticipating significant growth i n the air travel industry, you placed orders
totaling $2100 million to purchase new aircraft that would seat a total of 4500 passengers. Some of the aircraft were Boeing 747s that cost$200
million each and seat 400 passengers and Boeing 777s that cost $160 million each and seat 300 passengers. Others are European Airbus A321s that cost$60 million and seat 200 passengers. At the time you were instructed to
buy twice as many US manufactured aircraft as foreign aircraft.

a) Given the selection of three aircraft, how many of each type of aircraft did
you order?

II) Due to recent economic conditions you have been told to alter the order
for new equipment you made several years ago. The new aircraft had
not been received and placed into service yet because of the long lead
time to manufacture such complex and sophisticated equipment. The
revised budget for new aircraft is now $1810 million for 800 fewer total passenger seats. At this point in production Boeing charges$40 million
for each 747 aircraft canceled and $35 million for each 777 aircraft canceled. In a similar fashion Airbus charges$20 million for each A321
aircraft canceled.

b) Given that all other criteria remain the same, how many of each type of
aircraft did you cancel?

For part B I got the following equations:

1) -40x-35y-20z=290
2) 400x+300y+200z=3700
3) x+y-2z=0

I am getting the following for:

x= 113
y= -132
z=-9.5

2. Originally Posted by pilot
You said that on Nov 10th, on SAME problem :
http://www.mathhelpforum.com/math-he...d-problem.html

3. Originally Posted by pilot
Please help me with the second part of this problem as I am really stuck. I have the equations listed after the problem, but don't think they are correct.

I) Anticipating significant growth i n the air travel industry, you placed orders
totaling $2100 million to purchase new aircraft that would seat a total of 4500 passengers. Some of the aircraft were Boeing 747s that cost$200
million each and seat 400 passengers and Boeing 777s that cost $160 million each and seat 300 passengers. Others are European Airbus A321s that cost$60 million and seat 200 passengers. At the time you were instructed to
buy twice as many US manufactured aircraft as foreign aircraft.

a) Given the selection of three aircraft, how many of each type of aircraft did
you order?
i'll try the first one....
it's related with simultaneous equation...

let,
Boeing 747s=x
Boeing 777s=y
Airbus A321s=z

200x+160y+60z=1200 (the total cost)
400x+300y+200z=4500 (the seat)
x+y-2z=0 (buy twice as many US manufactured aircraft as foreign aircraft)

use elimination or substitution method to find the values of x,y and z...

x=5
y=5
z=5

.....hope it help.....

4. ## Word problem...no solution yet

Thanks for the answer to the first part, but I had the answer for that. I was asking for the second part which I am stuck with if you or anybody else can help. Thanks