Question: Use differential approximations in the following problem. A company will sell N units of a product after spending $x thousand in advertising, as given by

Use differential approximations in the following problem.

A company will sell N units of a product after spending $x thousand in advertising, as given by N=70x-x2, 5<x<35.

Approximately what increase in sales will result by increasing the advertising budget from $10,000 to $11,000? From $15,000 to $16,000.

Find the differential dN.

dN = (____) dx

The increase in sales from increasing the advertising budget from $10,000 to $11,000 is approximately _______ units.

The increase in sales from increasing the advertising budget from $15,000 to $16,000 is approximately ________ units.

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