V-Ship a courier company will only ship boxes when the sum of the length, width and height of the box is at least 100 cm and at most 1000 cm.
Gullu Gadgets mail their product in boxes which have integer dimensions such that their length, width and height are in the ratio 4 : 3 : 5. The largest box used by Gullu Gadgets has volume that is less than 2 cubic metres.
Determine the dimensions of the smallest and largest boxes which can be shipped by Gull Gadgets using V-Ship’s services.