Please show work.

1. Suppose that you are able to sell 540 thingamajigs each week when priced at $184 per thingamajig. According to a survey of customers, decreasing this price by $1 will result in adding 3 weekly sales, and vice versa. Your boss is considering changing the price per thingamajig to maximize revenue (units sold times price). Explain what this change in price should be, and why. 2. A video game speedrunner by the handle Fubbia wants to minimize the time it takes to manuever their character down and across a hallway in order to finish a level as quickly as possible. The length of the hallway necessary to travel is 174 units long, and the hallway is 60 units wide; the character moves 17 units per frame along the hallway's wall and 8 units per frame across the hallway. How much of Fubbia's movement should be along the wall of the hallway