Need solutions to a math problem

[pixeldixel]

Hi guys,

I have a mathematical problem I need help in solving:

I have a given length of material that measures 2,000mm. I have to cut this length into various pieces.

Measurements of each piece:
A = 280mm
B = 270mm
C = 260mm

If I require two times more pieces of C than A and B, what would be the optimum combination of A, B and C I may cut from the 2,000mm that results in the least amount of wastage?

Is there some mathematic algorithm for this?

Thanks in advance

[foxkilo]

The parameters given don't allow much wiggle room.

Total cannot exceed 2000mm, and A, B and C are each quite large in comparison, in addition to the fact that there must be "two times more pieces of C than A and B".

Then there can be only 3 combinations of A, B and C that don't exceed 2000mm in total.

A = 0 pieces, B = 2 pieces, C = 4 pieces
A = 1 piece, B = 1 piece, C = 4 pieces
A = 2 pieces, B = 0 piece, C = 4 pieces

The last option gives the least wastage, i.e. 400mm remaining. Is this what's being asked, or I interpret the question wrongly??