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

My Answer:

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