Assignment:
Crossing a desert.
Suppose you and your truck are all set to leave the town of Ucnestahn on the edge of Ucnahara desert. you want to travel across the desert as quickly as possible. You have calculated that all the provisions you need for one day's travel (food, fuel, lager, chewing gum, 'war and peace DVD etc) can be contained in 1 Bigbox and the truck can carry exactly 10 Bigboxes. there are no provisions available in the desert, but there is a limitless supply at Ucnestahn.
How do you plan your journey, and how many days will it take you, in each of the following situations?
[you may assume that Bigboxes are perfectly secure and so they may be dumped at any point and recovered later with no loss of usefulness. Time taken to load and unload is negligible.]
Situation 1: you know the distance across the desert is exactly 10 days travelling.
Situation 1: you know that the distance across the desert is exactly 12 days travelling
Situation 3: you know that the distance across the desert is exactly 20 days travelling
Situation 4: you know the distance across the desert is exactly 100 days travelling
What difference would it make to your answers if you can leave part Bigboxes to pick up later? What should your strategy be if you did not know the size of the desert?
NB there are several ways of approaching this problem, formulating terms to limit, etc. answer can vary accordingly, it is the approach, correct application of mathematical logic etc which is important.
Provide complete and step by step solution for the question and show calculations and use formulas.