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29. A company has three production plants, each of which pro- duces three different models of a particular product. The daily capacities (in thousands

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29. A company has three production plants, each of which pro- duces three different models of a particular product. The daily capacities (in thousands of units) of the three plants are as follows. Model 1 Model 2 Model 3 Plant 1 8 4 8 Plant 2 6 6 3 Plant 3 12 4 8 The total demand for Model 1 is 300,000 units, for Model 2 is 172,000 units, and for Model 3 is 249,500 units. Moreover, the daily operating cost for Plant 1 is $55,000, for Plant 2 is $60,000, and for Plant 3 is $60,000. How many days should each plant be operated in order to fill the total demand, and keep the operating cost at a minimum?

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