2 years ago

Help plz points 10 need help

Mathematics

1 answer:

Jobisdone [24]2 years ago

6 0

Answer:

208

Step-by-step explanation:

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A small business assumes that the demand function for one of its new products can be modeled by p = Cekx. When p = $40, x = 1000

Maru [420]

Answer:

C= 82.1116

k=-0.0007192

Step-by-step explanation:

$p=Ce^{kx}\\40=Ce^{k1000}\\30=Ce^{k1400}\\$

Applying logarithmic properties yields in the following linear system:

$ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k$

Solving for k:

$ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k\\400 k = ln(30)-ln(40)\\k=-0.0007192$

Solving for C:

$40=Ce^{-0.0007192*1000}\\C= \frac{40}{e^{-0.0007192*1000}}\\C=82.1116$

C= 82.1116

k=-0.0007192

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