Solve the Problem $f ( t ) = \frac { 440 } { 1 + 5.3 e ^ { - 0.24 t } }$

question 135

Multiple Choice

Solve the problem.
-The logistic growth function $f ( t ) = \frac { 440 } { 1 + 5.3 e ^ { - 0.24 t } }$ describes the population of a species of butterflies t months after they are introduced to a non-threatening habitat. What is the limiting size of the butterfly population that the habitat will sustain?

• A) 440 butterflies
• B) 70 butterflies
• C) 5 butterflies
• D) 880 butterflies

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Definitions:

Manufacturing Overhead

All manufacturing costs that are not directly attributable to a specific product, including indirect materials, indirect labor, and other indirect costs.

Depreciation Factory Building

This term relates to the allocation of the cost of a factory building over its useful life, reflecting its consumption and loss of value over time.

Direct Materials Used

Direct materials used are raw materials that are directly incorporated into a finished product and can be directly associated with the product.

Manufacturing Overhead Cost

Expenses related to the production process that cannot be directly attributed to individual products, such as factory rent, utilities, and maintenance.