10. [-/6.66 Points] DETAILS HARMATHAP12 10.4.021. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The base of a rectangular box is to be twice as long as it is wide. The volume of the box is 108 cubic inches. The material for the top costs $0.50 per square inch and the material for the sides and bottom costs $0.25 per square inch. Find the dimensions that will make the cost a minimum. length n width in height inA vacationer on an island 8 miles offshore from a point that is 48 miles from town must travel to town occasionally. (See the figure.) The vacationer has a boat capable of traveling 50 mph and can go by auto along the coast at 60 mph. At what point should the car be left to minimize the time it takes to get to town? (Round your answer to one decimal place.) Island 8 mi 48 - x 48 mi Town Beach X = 10.7 X mi