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Solve the Problem S(t)S ( t ) (In $1000)t\$ 1000 ) t

question 156

Multiple Choice

Solve the problem.
-After a new product is launched the cumulative sales S(t) S ( t ) (in $1000) t\$ 1000 ) t weeks after launch is given by
S(t) =541+11e0.32tS ( t ) = \frac { 54 } { 1 + 11 e ^ { - 0.32 t } }
Determine the amount of time for the cumulative sales to reach $48,000\$ 48,000 . Round to the nearest week.

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Definitions:

Market Penetration

A growth strategy where a company focuses on selling existing products within existing markets to gain a higher market share.

Product Development

The process of creating, designing, and rolling out new products or improving existing ones to meet customer needs.

Diversification

A strategy for managing risk that diversifies by incorporating a broad range of investments in a single portfolio.

Market Development

A growth strategy where a company seeks to increase sales by promoting existing products in new markets or new segments of current markets.

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