Question 1131570
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The price per movie is much lower for the boxes of 25, so the manager should buy as many of those as possible.<br>
At $240 per box, he can only buy one of them with $415.<br>
Buying one box of 25, he has $415-$240 = $175 left, which is enough (just barely) to buy one box of 14, since those boxes cost $170 each.<br>
So he can buy one box of each, for a total of 39 movies, for a total of $410.<br>
If he doesn't buy any of the boxes of 25, his $415 is only enough to buy two boxes of 14, giving him only 28 movies.  So the one box of each is the better purchase.