Suppose A is the set of positive real numbers, and suppose u and
v are two strictly increasing functions.1 It is intuitive that u
and v are ordinally equivalent, since both rank larger numbers
higher, and therefore generate the same ranking of numbers. Write
this intuition as a proof.
1-The sum of two numbers is 34. a)Find the largest possible product of these numbers. b)What would be the largest possible product if the sum if the two numbers were "k"?
2-Sixty meters of fencing are used to fence a rectangular garden. a)Find the dimensions that will give that maximum area. b)What would be the maximum area if "k" feet of fencing were used in terms of "k"?
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