To write: The table whose sum is and product is Maximum.
So according to the table only possible pairs whose sum is and product is large
Table of number whose sum is and product is Maximum.
Let first number is x and second number is y. for maximum product x and y should be positive.
The above values are the two numbers with product as large as possible.
To Find: A function that shows the product as of one of two numbers.
First number is x
Second number is y
Product is Maximum
Put equation 2 in equation 1
The required function showing the product is
To Find: The solution by using your modal and compare the answer with subpart a.
Two number whose sum is
Maximize the product by using Differentiation
First differentiation is equal to for maximize
Differentiate with respect to y
Put for maximum value
From subpart (a) answer is . Here x and y value is . Because in subpart (a) only take the whole number that is why there is difference in the answer.
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