(Solved): both please  1) A gas station sits at the intersection of a north-south road and an east-west r ...

1) A gas station sits at the intersection of a north-south road and an east-west road. A police car is traveling toward the gas station from the east, chasing a stolen truck which is traveling north away from the gas station. The speed of the police car is \( 100 \mathrm{mph} \) at the moment it is 3 miles from the gas station. At the same time, the truck is 4 miles from the gas station going \( 80 \mathrm{mph} \). At this moment is the straightline distance between them increasing or decreasing? And at what rate? 2) Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not to exceed 108 inches. What are the dimensions and volume of a square based box with the greatest volume. Constraint function: Objective function: Maximum Volume: