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

  1. 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?
  2. 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?
  3. 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?
  4. Take parts 1-3 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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