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A sports equipment manufacturer makes volleyballs for indoor and outdoor play, which bring in $8 and $5 in profit, respectively. Indoor volleyballs take 20 minutes to manufacture while outdoor balls take 10 minutes to manufacture. There are up to 4800 minutes of labor available for the manufacturing process and enough supplies for up to 120 indoor volleyballs and 400 outdoor volleyballs. How many of each type of volleyball should be manufactured to maximize profit?