1. A cruise line estimates that when each deluxe balcony stateroom on a particular cruise is priced at p thousands dollars, then q tickets for staterooms will be demanded by travelers, where q = 300-0.7p^2. a. Find the elasticity of demand for the stateroom tickets. b. When the price is $8000 (p=8) per stateroom, should the cruise line raise or lower the price to increase total revenue? 2. A box with a rectangular base is to be constructed of material costing $2/in.^2 for the sides and bottom and $3/in.^2 for the top. If the box is to have volume 1,215 in.^3 and the length of its base is to be twice its width, what dimensions of the box will minimize its cost of construction? What is the minimal cost