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Formulate the Following as a Linear Programming Problem

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Formulate the following as a linear programming problem.
The Ski Company makes skis and snowboards. They are currently planning their operations for October-December, and have just an exclusive signed contracts to sell up to 4,000 pairs of skis and as many snowboards as they can make, to a company that owns several sporting goods stores. The profit that Ski will make is $53 for each pair of skis and $67 for each snowboard. Every pair of skis will require 7 hours from Department A and 12 hours from Department B. Every snowboard will require 5 hours from Department A and 19 hours from Department B. The total hours planned for October-December is 44,535 hours in Department A and 93,217 hours in Department B.


Definitions:

Generalized Anxiety Disorder

A mental health disorder characterized by persistent and excessive worry about various aspects of daily life, often leading to significant distress or impairment.

Autonomic Arousal

The activation of the autonomic nervous system, which can manifest in physical responses such as increased heart rate or sweating, often as a reaction to stress or excitement.

Continually Tense

Experiencing steady and ongoing stress or tension without significant periods of relief or relaxation.

Apprehensive

Experiencing worry or dread about potential negative outcomes or events.

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