Alabama Instruments Company Has Set Up a Production Line to Manufacture

question 84

Short Answer

Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calculators after $t$ weeks is
$$\frac { d x } { d t } = 5700 \left( 1 - \frac { 160 } { ( t + 22 ) ^ { 2 } } \right)$$
calculators per week. Production approaches 5,700 per week as time goes on, but the initial production is lower because of the workers' unfamiliarity with the new techniques. Find the number of calculators produced from the beginning of the third week to the end of the fourth week.
Round the answer to the nearest integer.

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Definitions:

Support Department Allocations

The process of distributing overhead costs from support or service departments to producing or operating departments based on their usage of those services.

Operating Income

Earnings before interest and taxes (EBIT), indicating the profitability from regular business operations.

Profit Center Manager

An individual responsible for managing a segment or division of a business that is treated as its own unit for the purpose of calculating its profitability.

Operating Income

A measure of a company's profitability from its core business functions, excluding non-operating income and expenses.