Phil and Cath make and sell boomerangs for a school event. The money they raise will go to charity.

They plan to make them in two sizes: small and large.

Phil will carve them from wood. The small boomerang takes 2 hours to carve and the large one takes 3 hours to carve. Phil has a total of 24 hours available for carving.

Cath will decorate them. She only has time to decorate 10 boomerangs of either size.

The small boomerang will make $8 for charity. The large boomerang will make $10 for charity.

They want to make as much money for charity as they can. How many small and large boomerangs should they make? How much money will they then make?

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