Answered

IDNLearn.com is the perfect place to get answers, share knowledge, and learn new things. Our Q&A platform offers reliable and thorough answers to help you make informed decisions quickly and easily.

Could someone help please?
The Sales S (in thousands of units) of a cleaning solution after X hundred dollars is spent on advertising are given:
S = 10(1 - e^(kx))
Now when $325 is spent on advertising 2300 units are sold.

(a)Complete by solving for k. (Round your answer to 4 decimal places)
k = _______

(b) What number of units that will be sold if advertising is raised up to $425
_______ Units.

Sagot :

Konrad509idn
[tex]2.3=10(1-e^{3.25k}))\\ 2.3=10-10e^{3.25k}\\ 10e^{3.25k}=7.7\\ e^{3.25k}=0.77\\ 3.25k=\ln 0.77\\ k=\frac{\ln 0.77}{3.25}\\ k\approx-0.0804 [/tex]

[tex]S=10(1-e^{\frac{\ln 0.77}{3.25}\cdot4.25})\\ [/tex]

Calculating this is a pain in the ***, but as a result you get approximately 2.8949 which in thousands of units is 2894 (rounded down since you can't have a fraction of a unit).
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Your search for answers ends at IDNLearn.com. Thanks for visiting, and we look forward to helping you again soon.