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A furniture company makes two kinds of wooden table legs, plain and fancy. The plain leg takes 2 hours on a lathe and 1 hour of sanding. Each fancy leg takes 1 hour on the lathe and 4 hours of sanding. The company has 4 lathes and 6 sanding machines, all of which are available for 12 hours a day. Each plain Leg profits $3 and each fancy profits $5. If the company could sell everything it makes, how should it allocate its production to maximize profit?
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