Answer on Calculus Question for Tatiana
m = (a+b)/2
be the arithmetic mean of a and b.
2a + 5b = 10 ==> a = 5 - 2.5b.
m = (a+b)/2 = (5 - 2.5b + b)/2 = (5 - 1.5b)/2 = 2.5 - 0.75b.
m reaches its maximum value when b is equal to zero. So, the largest number that the arithmetic mean can be is 2.5.
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