Formulate the Following as a Linear Programming Problem

question 118

Essay

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.

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Definitions:

Export

The process of sending goods or services to another country for sale or trade.

Act of State Doctrine

A principle that shields countries from being sued in foreign courts for actions taken within their own territories.

Judgment

A legal decision made by a court following a lawsuit.

State Government

The governing body of a state within a federated entity, such as the United States, which has its own separate powers and jurisdiction within its territory, following a constitution or laws specific to that state.