## Linear programing, Operation Research

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A factory employs unskilled workers earning \$135 per week and skilled workers earning \$270 per week. It is required to keep the weekly age bill below \$24,300.
The machine requires a minimum of 110 operators, of whom at least 40 must be skilled. Union regulations required that the numbeskilled workers skilled should be at least half the number of unskilled workers.
If X is d number of unskilled workers and Y the number of skilled workers, write down all the constraints to be satisfied by X and Y. Also, determine the minimum cost.

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