A company will sell N units of a product after spending $x thousand in advertising, as given by N = 60x - x^2 5 \leq x \leq 30approximately what increase in sales will result by increasing the advertising budget from $10,000 to $11,000 and from $20,000 to $21,000?

Explanation:

Given that:

  where; 5 ≤ x ≤ 30

SO by increasing the advertising budget from 10,000 to 11000; the budget is increased from 10 to 11 since x is in thousands.

∴

Increase in sales = N(x₂) - N(x₁)

Increase in sales = N(11) -N(10)

Increase in sales = (60(11)-11²) - (60(10) -10²)

Increase in sales = (660 - 121) - (600 - 100)

Increase in sales = 539 - 500

Increase in sales = 39 units

By increasing the advertising budget from 20,000 to 21000; the budget is increased from 20 to 21 since x is in thousands.

∴

Increase in sales = N(x₂) - N(x₁)

Increase in sales = N(21) -N(20)

Increase in sales = (60(21)-21²) - (60(20) -20²)

Increase in sales = (1260 - 441) - (1200 - 400)

Increase in sales = 819 - 800

Increase in sales = 19 units

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