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:

Communism

A political and economic ideology proposing a classless society in which all property is publicly owned and each person works and is paid according to their abilities and needs.

Social Inequality

The existence of unequal opportunities or rewards for different social positions or statuses within a society.

Fertility

The natural capability to produce offspring, often measured by the rate of births in a population or the ability of individuals or couples to conceive.

Late 1950s

Refers to the period towards the end of the decade of the 1950s, a time characterized by significant cultural, political, and technological changes.