Constraint Word Problem: An airline is purchasing new passenger jet airplanes.

[kdawg119]

Hello,

Please see image below as I'm having trouble setting up the objective function and constraints. I did some preliminary work but need someone to verify that it's correct.




Thank you for the help!

 

[ksdhart2]

Looks mostly good, but it seems to forgot to take into account the "minimum purchase order" column. It's a bit ambiguous and unclear but the way I interpret it is saying the company must buy at least (this many) of this type of plane.

 

[Deleted member 4993]

Hello,

Please see image below as I'm having trouble setting up the objective function and constraints. I did some preliminary work but need someone to verify that it's correct.


View attachment 14035

Thank you for the help!

Why is the last constraint:

x₁ + x₂ + 3*x₃ <= 30

I think it should be:

x₁ + x₂ + x₃ <= 30

and another constraint:

.....at least 1/3 of the plane should be short range

(x₁ + x₂ + x₃) / 3 <= x₃