SOLUTION: If x thousand dollars is spent on advertising brush cutters the amount of brush cutters sold will be determined by the function
B(x) = 2300 + 125/x − 517/x^2 for 3 ≤
Algebra.Com
Question 1114937: If x thousand dollars is spent on advertising brush cutters the amount of brush cutters sold will be determined by the function
B(x) = 2300 + 125/x − 517/x^2 for 3 ≤ x ≤ 12
a. At what rate will sales be changing when $6000 is spent on advertising?
b. At what rate will sales be changing when $9000 is spent on advertising?
c. Are sales increasing or decreasing for the level of advertising expenditure in parts (a) and (b) above?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
B(x) = 2300 + 125/x − 517/x^2 for 3 ≤ x ≤ 12
B(6)=2300-125/6+517/36=2300+20.83-14.36=2306.47
B'(x)=-125x^(-2)+2(517)^x^(-3)
=-125/x^2+1034/x^(-3)
B'(6)=1034/216-125/36=+1.315 or $1315 per brush cutter sold
B'(9)=1034/729-125/81=0.287 or $215 per brush cutter sold.
Both are increasing.
RELATED QUESTIONS
The sales S (in thousands of units) of a cleaning solution after x hundred dollars is... (answered by stanbon)
The profit, P, of a video company in thousands of dollars, is given by
P = -5x^2 + 550x (answered by ramkikk66)
The profit, P, of a video company in thousands of dollars, is given by
P = -5x^2 + 550x (answered by ramkikk66)
An advertising agency conducted a survey and found that the number of units sold n is... (answered by stanbon)
The profit, P, of a video company (in thousands of dollars), is given by... (answered by Boreal)
The number of visits a certain Web site receives each day can be modeled by the equation... (answered by Fombitz)
(48) Business and finance. When x number of units are sold, the price of each unit (in... (answered by stanbon)
The profit P, of a video company (in thousands of dollars) is given by P(x) =... (answered by nerdybill)
A public relations {{{highlight(cross(exert))}}} expert developed the model... (answered by ikleyn)