Question

Advertising. Sound Software estimates that it will sell N units of a program after spending a...

Advertising. Sound Software estimates that it will sell N units of a program after spending a dollars on advertising, where

and a is in thousands of dollars. Find the maximum number of units that can be sold and the amount that must be spent on advertising in order to achieve that maximum.

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Answer #1

710-2.4-98E

Here given that

Where

Units of program

Amount in thousands of dollars

(a) First we find by the differentiation of given function with respect to , we get

(b) Critical values: - The derivative exists for all real numbers thus, we solve, we get

The critical value is

(c) List of the critical values and the end points:-

(D) Evaluate for each value in step (c), we get

Thus, the maximum number of units is that can be sold and the amount thousand must be spent on advertising on order to achieve that maximum.

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