
Due November 1
This problem can be solved by trial and error combined with logic.
We consider this to be an hard problem, worth 20 points. Send
answers and questions to
mathstat@uoguelph.ca 

 Suppose that A and B are positive whole numbers so that A+B=600.
What values of A and B make AxB as big as possible?
 Suppose that A, B, and C are positive whole numbers so that
A+B+C=600. What values of A, B, and C make AxBxC as big as possible?
 Suppose that A, B, C, and D are positive whole numbers so that
A+B+C+D=600. What values of A, B, C and D make AxBxCxD as big as
possible?
 Take parts 13 and figure out what is going on. Explain what
would happen if we wanted to split 600 into more parts and try to get
the largest possible product.
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