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The Northern Manufacturing Company is producing products ABC and XYZ, using the same machine. Demand forecasts for next year and other production-related information are provided

The Northern Manufacturing Company is producing products ABC and XYZ, using the same machine. Demand forecasts for next year and other production-related information are provided in the following table.

Product ABC Product XYZ
Demand forecast (units/yr) 9,000 16,000
Batch size (units/batch) 150 300
Processing time (hr/unit) 3.5 5.0
Setup time (hr/batch) 20 30

The company works 300 days per year and operates 2 shifts each day, each shift covering 9 hours. If 20 percent of capacity cushion is maintained throughout the year, how many machines does the company need next year to meet the demand? You must show all work (formulas) to get credit for the question! (Round your answer up to the next whole machine.

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