A sports memorabilia store makes $6 profit on each football it sells and $5.50 profit on each baseball it sells. In a typical month, it sells between 35 and 45 footballs and between 40 and 55 baseballs. The store can stock no more than 80 balls total during a single month. What is the maximum profit the store can make from selling footballs and baseballs in a typical month?

Start with the minimum monthly sales: 35 footballs and 40 baseballs, for 75 balls and a profit of $210 + $220 = $430. The store can stock 5 more balls before reaching its limit of 80. Since each extra football earns $6, more than the $5.50 earned per baseball, use those 5 spots for footballs. Selling 40 footballs and 40 baseballs earns $240 + $220 = $460, choice B.

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