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National Business Machines Corporation Manufactures Two Models of Fax Machines

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National Business Machines Corporation manufactures two models of fax machines: A and B. Each model A costs $150 to make, and each model B costs $105. The profits are $45 for each model A and $30 for each model B fax machine. If the total number of fax machines demanded each month does not exceed 2,500 and the company has earmarked no more than $600,000/month for manufacturing costs, find how many units of each model National should make each month in order to maximize its monthly profits. What is the largest monthly profit the company can make?


Definitions:

Fingerprint Lock

A locking mechanism that uses biometric technology to recognize an individual's fingerprint as a key, commonly used in secure access systems and modern electronic devices.

USB Lock

A security device that prevents USB storage devices from being inserted into a USB port.

Remote Wipe

The process of using software to send a command to a mobile device to delete data, perform a factory reset, remove everything from the device so that it cannot be used, and overwrite data storage to prevent forensic data recovery.

Biometrics

The use of one or more devices that can authenticate someone based on one or more physical traits such as a fingerprint, an eyeball (retina), or a hand, or a behavioral trait such as voice or signature.

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