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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