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A construction contractor estimates that the size of the work force needed over the next five weeks to be 6,5,4,6 and 8 respectively. Excess labor

A construction contractor estimates that the size of the work force needed over the next five weeks to be 6,5,4,6 and 8 respectively. Excess labor kept on the force will cost 200 per worker per week and new hiring in any week will incur a fixed cost of 300 plus 100 per worker per week. Determine the optimum number of workers which contractor must keep for each week??

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