Revenue The monthly sales of Sunny Electronics’ new iSun media player is given by q ( t ) = 2 , 000 t − 100 t 2 units per month, t months after its introduction. The price Sunny charges is p ( t ) = 100 − t 2 dollars per iSun , t months after introduction. Find the rate of change of monthly sales, the rate of change of the price, and the rate of change of monthly revenue 6 months after the introduction of the iSun . Interpret your answer. [ HINT: See Example 4(a).]
Revenue The monthly sales of Sunny Electronics’ new iSun media player is given by q ( t ) = 2 , 000 t − 100 t 2 units per month, t months after its introduction. The price Sunny charges is p ( t ) = 100 − t 2 dollars per iSun , t months after introduction. Find the rate of change of monthly sales, the rate of change of the price, and the rate of change of monthly revenue 6 months after the introduction of the iSun . Interpret your answer. [ HINT: See Example 4(a).]
Solution Summary: The author calculates the rate of change of monthly sales, prices, and revenue of Sunny Electronics’ new sound system after 6 months. The product rule of derivative of differentiable functions is f(x
Revenue The monthly sales of Sunny Electronics’ new iSun media player is given by
q
(
t
)
=
2
,
000
t
−
100
t
2
units per month, t months after its introduction. The price Sunny charges is
p
(
t
)
=
100
−
t
2
dollars per iSun, t months after introduction. Find the rate of change of monthly sales, the rate of change of the price, and the rate of change of monthly revenue 6 months after the introduction of the iSun. Interpret your answer. [HINT: See Example 4(a).]
Write an equation for the graph shown below.
5
4
3
2
1
-5-4-3-2-1
-1
1 2 3 4 5
f(x) =
-2
-3
-4
-5
1. We want to graph the function
f(x) log4 x. In a table below,
=
find at three points with nice
integer y-values (no rounding!) and
then graph the function at right. Be
sure to clearly indicate any
asymptotes. (4 points)
3
2
1-
-1
0
1
2
3
4 5
10
X
log4(x)
-1
-2
-3-
6 7
8
00
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY