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Computer Products Produces Two Keyboards, Regular and Special

question 152

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Computer Products produces two keyboards, Regular and Special. Regular keyboards have a unit contribution margin of $128, and Special keyboards have a unit contribution margin of $720. The demand for Regulars exceeds Computer Product's production capacity, which is limited by available machine-hours and direct manufacturing labor-hours. The maximum demand for Special keyboards is 80 per month. Management desires a product mix that will maximize the contribution toward fixed costs and profits.
Direct manufacturing labor is limited to 1,600 hours a month and machine-hours are limited to 1,200 a month. The Regular keyboards require 20 hours of labor and 8 machine-hours. Special keyboards require 34 labor-hours and 20 machine-hours.
Let R represent Regular keyboards and S represent Special keyboards. The correct set of equations for the keyboard production process is ________.


Definitions:

Fixed Manufacturing Overhead

Costs that do not change with the level of production output and are required to operate a manufacturing facility, such as rent and salaries of managers.

Machine-Hours

A gauge of manufacturing output or activity determined by the operation duration of machinery.

Machine-Hours

A measure of production time, calculated as the number of hours a machine is operated within a given period, used for allocating machine-related costs.

Manufacturing Overhead

All the costs associated with manufacturing a product that cannot be directly attributed to a specific unit of production, such as factory rent, utilities, and maintenance.

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