Solve the Problem $\mathrm { f } ( \mathrm { t } ) = \frac { 320 } { 1 + 4.3 \mathrm { e } ^ { - 0.21 \mathrm { t } } }$

question 51

Multiple Choice

Solve the problem.
-The logistic growth function $\mathrm { f } ( \mathrm { t } ) = \frac { 320 } { 1 + 4.3 \mathrm { e } ^ { - 0.21 \mathrm { t } } }$ describes the population of a species of butterflies t months after they are introduced to a non-threatening habitat. How many butterflies were initially introduced to the habitat?

• A) 60 butterflies
• B) 320 butterflies
• C) 4 butterflies
• D) 2 butterflies

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Definitions:

Demand Conditions

The characteristics and preferences of consumers that influence their desire and ability to purchase goods and services.

Profit Maximization

The process by which a firm determines the price and output level that generates the maximum profit.

Entry Barriers

Obstacles that prevent or hinder new competitors from easily entering an industry or area of business.

Competitive Price-Searcher

A market characteristic where firms actively seek to set prices competitively, often through differentiation, to attract customers.