The marketing division of a large firm has found that it can model the sales generated...

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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) = 0.25u+ 1.5 millions of dollars when the firm invests u thousand dollars in advertising. The firm plans to invest u(x) = -2.9x2 + 58x + 100 thousand dollars each month where x is the number of months after the beginning of the advertising campaign. (a) Write the function for the model that gives the sales in million dollars generated when x is the number of months since the beginning of the ad campaign. S(u(x)) = million dollars (b) Write the formula for the rate of change of predicted sales x months into the campaign. dS dx million dollars per month (c) What will be the rate of change of sales when x = 13? (Round your answer to three decimal places.) million per month $ Need Help? Read It The marketing division of a large firm has found that it can model the sales generated by an advertising campaign as S(u) = 0.25u+ 1.5 millions of dollars when the firm invests u thousand dollars in advertising. The firm plans to invest u(x) = -2.9x2 + 58x + 100 thousand dollars each month where x is the number of months after the beginning of the advertising campaign. (a) Write the function for the model that gives the sales in million dollars generated when x is the number of months since the beginning of the ad campaign. S(u(x)) = million dollars (b) Write the formula for the rate of change of predicted sales x months into the campaign. dS dx million dollars per month (c) What will be the rate of change of sales when x = 13? (Round your answer to three decimal places.) million per month $ Need Help? Read It