Optimized lengths

[thomachans]

Dear All:

Please throw some light and guide me on how I should take it forward.

Please find the attached image & then read through the following.

 

Constraints:

1. The minimum distance between the holes are 200mm
2. The maximum distance between the holes are 600mm
3. The distance between the end of the bar and the nearest hole should be at least 70mm
4. The mill bars should have at least 2 holes

The standard length of the mill bar is a constant, say 1500mm
But the length of the plate, as well as the position of the holes, are variables.

Keeping all the above mentioned constraints, we need to accommodate the bars on the plate.
You may cut the bars into any length required in order to accommodate them, but should try to use the
standard length the most (optimized solution).

I need to find the total number of bars required & their respective lengths.

 

Any help would be highly appreciated.

 

Thank You!