A general rule is to use 1/30-1/20 of the span as height for the "beams". The width is about half the height. So With a span of 80 inch, you need about 4x2 inch beams. Strenght increases with the 3rd power of the height. This means that the inner part of a beam does not add much, as it is close to the axe of the beam. If you make holes 2 inch round in a 4 inch beam, you only throw away about 12% of the strength! Thats why trussed beams are so efficient!
Your beams are thinner than the suggested 2 inch, 1 inch, so you need about 5x1 inch (it equals 4x2 inch) for equal support. Add another inch or 2 to the height for some extra strength and room for perforations. There are 2 possible issues remaining:
- Risk of pleat: because your beams are thinner, they can fold or kink. So make sure the beams are tied to the bedframe every 10 inches or so
- This only works for the multiplexes! Chipboard is too weak for this. If the shapes are very rough or sharp edged (or not routed very nice), strange tension can occur which adds more risk of tearing. If the shapes have edges that could tear out easily, increase the height of the continuous material at the bottom/top to 2 inches at least.
- Perforations should not be wider than high. As long as the beam looks like a real trussed beam, there is no problem in perforating:

In this image you see how you can perforate a beam. The black dotted line is an imaginary force line. Do not cut that line and keep these lines 1,5-2 inch solid wood everywhere. 1.5 inch if it is a perfect 45 degree truss, up to 2 inch if it has variation in triangle size. It does not have to be like this exactly. Angles of any section can be anywhere between 30 and 60 degrees without much problems and the different triangles can have different widths. Leave at least 1.5 inch wood between the cut-outs and the edge. You can cut out quite a bunch of shapes out of your suggested 12x40x1 inch multiplex if you follow these guidelines and your panel will hold up your bed easily. 18 inch is totally nuts! If done really smart, you can even cut the height of the panel to 10 or even 8 inch.