Captain Sarfo is examining the trip manifest for round trip for his personnel carrier, and is...

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Physics

Captain Sarfo is examining the trip manifest for round trip forhis personnel carrier, and is trying to plan how much food tobring. His typical run goes from Ganymede station to Mars. As such,he flies Martians almost exclusively, and  plans histrips by approximating food consumption using passenger height.Since transporting excess weight increases fuel costssignificantly, Captain Sarfo relies heavily on the accuracy of thisprediction (going over or under is very undesirable).

Today, there is a conference on Mars, and Captain Sarfo’s firstofficer warns him that ¼ of his passengers will be Belters for thistrip, and 1/5 will be Earthers. Earthers eat more than Martians,and Belters eat much less.

a)         IfBelters and Earthers are approximately the same height as Martians,how will this complicate Captain Sarfo’s estimates? Please bespecific.

b)         Usinghis old estimates, Captain Sarfo knows that a Martian standing 1.7meters eats 1.4 kilos of food in a day, and that amount increaseslinearly with height. If we assume that Belters’ and Earthers’consumption ALSO increases linearly, then what pieces ofinformation would we need to improve Captain Sarfo’s estimates overhis original method?

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