# The marketing division of a large firm has found that it can model the sales generated by an advertising campaign asS(u) = 0.75 u + 1.3 millions of dollarswhen the firm invests u thousand dollars in advertising. The firm plans to investu(x) = −2.9x2 + 54x + 100 thousand dollarseach month where x is the number of months after the beginning of the advertising campaign.How quickly will the sales for this firm be changing when x = 13? (Round your answer to three decimal places.)\$ _____ million per month

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The marketing division of a large firm has found that it can model the sales generated by an advertising campaign as

S(u) = 0.75
 u
+ 1.3 millions of dollars

when the firm invests u thousand dollars in advertising. The firm plans to invest

u(x) = −2.9x2 + 54x + 100 thousand dollars

each month where x is the number of months after the beginning of the advertising campaign.

How quickly will the sales for this firm be changing when x = 13? (Round your answer to three decimal places.)
\$ _____ million per month

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Step 1

We have to find rate of change of sales w.r.t. x, that is ds/dx

Step 2

Differentiate both sides of the expression of S w.r.t. x.

Step 3

Plug expression of u and...

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