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.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 1TI: Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use...
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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
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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