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A mill owner buys two types of machines ...

A mill owner buys two types of machines A and B for his mill, Machines A occupies 1,000 sq.m of area and requires 12 men to operate it, while machine B occupies 1,200 sq.m of area and requires 8 men to operate it. The owner has 7,600 sq.m of area available and 72 men to operate the machines. If machine A produces 50 units and machine B produces 40 units daily, how many machines of each type should he buy to maximize the daily output? Use Linear Programming to find the solution.

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