A Biologist Has Determined That the Maximum Number of Fruit

question 27

Short Answer

A biologist has determined that the maximum number of fruit flies that can be sustained in a carefully controlled environment (with a limited supply of space and food) is 500. Suppose that the rate at which the population of the colony increases obeys the rule where C is the carrying capacity (500) and Q denotes the number of fruit flies in the colony at any time t. If the initial population of fruit flies in the experiment is 20 and it grows to 35 after 20 days, determine the population of the colony of fruit flies on the 50th day. Round the answer to the nearest integer. __________ flies

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Definitions:

Predetermined Overhead Rate

An estimated rate used to allocate manufacturing overhead costs to individual products based on a certain activity base, such as labor hours or machine hours.

Activity-based Costing

A costing methodology that assigns overhead and indirect costs to specific activities, thereby providing more accurate product costing.

Traditional Cost System

A cost accounting system that assigns costs to products based on direct labor hours, direct materials, and manufacturing overhead, without differentiating between variable and fixed costs.

High-volume Products

Items that are produced in large quantities, typically benefiting from economies of scale in manufacturing processes.