The demand for the Cyberpunk II arcade video game is modeled by the logistic curve 13,000 q(t) = 1+0.6e¬0.5: where g (t) is the total number of units sold t months after the game's introduction. Use technology to estimate q'(9). dR Assume that the manufacturers of Cyberpunk II sell each unit for $900. What is the company's marginal revenue, Jq Use the chain rule to estimate the rate at which revenue is growing 9 months after the introduction of the video game.
The demand for the Cyberpunk II arcade video game is modeled by the logistic curve 13,000 q(t) = 1+0.6e¬0.5: where g (t) is the total number of units sold t months after the game's introduction. Use technology to estimate q'(9). dR Assume that the manufacturers of Cyberpunk II sell each unit for $900. What is the company's marginal revenue, Jq Use the chain rule to estimate the rate at which revenue is growing 9 months after the introduction of the video game.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The demand for the Cyberpunk II arcade video game is modeled by the logistic curve
13,000
q(t) =-
1+0.6e-0,5:
where g(?) is the total mumber of units sold t months after the game's introduction.
Use technology to estimate q'(9).
dR
Assume that the manufacturers of Cyberpunk II sell each unit for $900. What is the company's marginal revenue, d
Use the chain rule to estimate the rate at which revenue is growing 9 months after the introduction of the video game.
Please round each answer to the nearest whole number.
dą
= 43,
di
dR
= 900,
dą
dR
= 38,478
a.
dt
dg
Ob.
= 143,
di
dR
900,
dq
dR
= 128,260
di
%3D
dq
dR
dR
C.
di
= 43,
dq
900,
= 38,734
dt
dq
= 86,
dt
dR
= 800,
dg
dR
d.
= 76,956
dt
dR
O e.
= 71,
dr
= 700,
dą
dR
= 64,130
dt
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