Stage lantern with 12m throw and 5m height: which lens and mirror?

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pmmiller14
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I am really stuck on what to do.

"The completed lantern needs to produce a tightly focussed spot of light on a stage, it is positioned 12m horizontally away from it and 5m above it. It also has to fit a box that is 30cm long"

Parts avaliable:
light bulbs
light bulb holders
wiring
convex lenses - focal lengths of 2cm, 10cm and 50cm.
concave mirrors - focal lengths of 5cm, 20cm

could anyone help me with what i have to do to create the lantern.
 
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This would make an excellent Gaussian Beam Optics question using the ABCD law.
How well do you know your matrix techniques for ray propagation?