Question

Asked Oct 21, 2019

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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

+ 1.3 millions of dollars

u |

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

u(x) = −2.9x^{2} + 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

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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