# Thread: Inflection Point Problem; Revenue Problem

1. ## Inflection Point Problem; Revenue Problem

I would greatly appreciate it if I could get some feedback on these Calculus questions. Answer one or all, any help would be appreciated. THANKS!

Question:
Find the x-value (to the 5th decimal place) of the inflection point of g(x)=x^3-7x^2+10x-4

6x-14
6x-14=0
6x=14
x=2.333

Question:
The number of DVDs sold weekly at a certain movie store is given by 12350(0.94^x)
DVDs, when each DVD is sold at x dollars.
a) Find their weekly revenue function when the price is set to x dollars (per DVD):
b) What specific price (per DVD) should they set to maximize their weekly revenue?
c) If the store pays DVD distributors $9.99 for each DVD, and assume that they sell all DVDs they purchase, at what price should they sell each DVD to maximize their weekly profit? Answer: a) Find their weekly revenue function when the price is set to x dollars (per DVD): N(x) = (x)(12350(0.94^x) b) What specific price (per DVD) should they set to maximize their weekly revenue? max=15.95 dollars per DVD c) If the store pays DVD distributors$9.99 for each DVD, and assume that they sell
all DVDs they purchase, at what price should they sell each DVD to maximize their
weekly profit?
9.99+15.95=25.94 dollars per DVD for max profit

2. The first one is correct (or will be, once you extend it a few for decimals).

That sure is a lot of questions...