Solve the Problem $\mathrm { P } ( \mathrm { t } ) = \frac { 1 } { 1 + 6.69 \mathrm { e } ^ { - 0.753 \mathrm { t } } }$

question 324

Multiple Choice

Solve the problem.
-The logistic growth model $\mathrm { P } ( \mathrm { t } ) = \frac { 1 } { 1 + 6.69 \mathrm { e } ^ { - 0.753 \mathrm { t } } }$ represents the proportion of the total market of a new product as it penetrates the market t years after introduction. When will the product have 65% of the market?

• A) 2.95 years
• B) 3.35 years
• C) 4.35 years
• D) 1.95 years

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Definitions:

Commingled Funds

Investment funds that pool assets from multiple investors, allowing for diversified investments managed by a professional manager.

Individual Investors

Private investors who buy and sell securities for their personal account, and not for another company or organization.

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In tax accounting, the calculation of gain or loss on each asset individually rather than on a combined basis.

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The aspect of mutual funds and investment portfolios where experienced managers make investment decisions on behalf of investors, aiming to achieve the best returns possible.