In mathematics, linear programming (LP) problems involve the optimization of a linear objective function (i.e., maximize profit or minimize cost) subject to linear equality and inequality contraints. {"Linear Programming." Wikipedia: The Free Encyclopedia}.

Since the problem involves a production and distribution system, use of the Transportation Method in Linear Programming is the best way to solve this. {Heizer, Jay and Render, Render. "Production and Operations Management". pp. 373-399}. A dummy destination is required since the production capacity is greater than the demand. {Heizer, Jay and Render, Render. "Production and Operations Management". p381} ...Show more