A Nike factory store in Hanover, MD makes soccer balls and basketballs. A soccer ball takes 1 hour of machine time and 3 hours of a worker's time in its making while a basketball takes 3 hours of machine time and 1 hour of a worker's time. In a day, the factory can produce no more than 12 hours of machine time and 12 hours of worker's time. In Excel: A Nike factory store in Hanover, MD makes soccer balls and basketballs. A soccer ball takes 1 hour of machine time and 3 hours of a worker's time in its making while a basketball takes 3 hours of machine time and 1 hour of a worker's time. In a day, the factory can produce no more than 12 hours of machine time and 12 hours of worker's time. a) What number of soccer balls basket balls must be made if the factory is to work at full capacity? Number of Soccer balls: Number of Basketballs: b) If the profit on a soccer ball and on a bat is $20 and $10 respectively, find the maximum profit of the factory when it works at full capacity. Max Profit: $