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Asked Sep 29, 2019
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Please see the attached problem. Thanks!

2.6.45-BE
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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 = 50x- x2, 5sxs25. Approximately what increase in sales will result by
increasing the advertising budget from $10,000 to $11,000? From $20,000 to $21,000?
Find the differential dN
dx
dN=
1 The
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2.6.45-BE Question Help 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 = 50x- x2, 5sxs25. Approximately what increase in sales will result by increasing the advertising budget from $10,000 to $11,000? From $20,000 to $21,000? Find the differential dN dx dN= 1 The

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Step 1

We differentiate both sides. 

Answer: dN=(50-2x)dx

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N=50x-x2 dN d(50x-x2 dN (50-2x)dx

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Step 2

If the budget is 10000 then x=10 

For budget 11000, x=11

From x=10 to x=11 is dx...

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dN (50-2x)dx dN (50-2(10)1) dN (50-20) dN-30

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