A package can be sent by mail only if the sum of its height and perimeter of the base is not more than 96 inches. Write a function to represent the volume of a box with a square base, with sum of the height and perimeter of the base equal to inches. What dimensions of such a box will give the maximum volume? What is the maximum volume?

Trent wants to buy 2 packs of trading cards for 3 dollars each. the trading card packs that trent normally buys tend to come in packs of 6, 10, 12, or 15 cards. after selecting 2 packs, trent found that the first pack of cards cost 25 cents per card, and the second pack cost 30 cents per card. trent uses this information to write the equations below in order to compare c, the number of cards in each pack.