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Action Toy Company makes action figures once a month. Producing the cricket action figure requires $$3$$ hours of time on Machine I and $$9$$ hours on Machine II. Producing the beetle action figure requires $$8$$ hours of time on Machine I and $$4$$ hours on Machine II. Machine I is only available for $$240$$ hours per month, but Machine II is available for $$360$$ hours per month. The cricket action figure can be sold at a profit of $$\ 2.90$$ , and the beetle action figure can be sold at a profit of $$\ 3.50$$ . How many of each action figure should the company produce each month to maximize its profit?
$$32 \text { "cricket" figures; } 18 \text { "beetle" figures }$$