The maximum product is 20y-y^2
We have given that,
Among all pairs of numbers whose sum is 20 find a pair whose product is as large as possible.
We have to determine the what is the maximum product.
The greatest value a function has, at most, one value of the dependent variable for each allowable value of the input variables.
let,x+y=20
x=20-y
p=xy......(2)
Use the value of x in equation 2 so we get,
Product=[tex](20-y)y[/tex]
Product=[tex]20y-y^2[/tex]
Therefore the maximum product is 20y-y^2.
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