A keen math student has invented the new card game Cardle, which requires a special pack of cards to be purchased on Amazon.ca. The company currently sells 1000 packs of cards per day at a price of $5 per pack. It also estimates that for each $0.02 reduction in price, 10 more packs a day will be sold. Under these conditions, what is the maximum possible income per day, and what price per pack of cards will produce this income? Make a clear and concise final statement and include how much extra $ they make with this new price structure. [6 marks]