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PAGE: 256SET: ExercisesPROBLEM: 1
Please look in your text book for this problem Statement

(a)

Find two numbers whose sum is and whose product is a maximum

Construct a table of possible values :

First Number () Second Number () Product ()

Observe the table.

The numbers are , then the product is maximum.

(b)

Consider first number be .

Second number be .

The sum of the two number is :

Let be the product of two numbers then .

Substitute value of in .

This product has the maximum value at a point where .

Differentiate with respect to :

Equate to zero:

This is a maximum value, since and

Substitute the value in :

The product value is maximum when the two numbers are , .

(a) , .

(b) , .



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