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Use the Scenario Given Below to Answer the Following Question(s)

question 75

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Use the scenario given below to answer the following question(s) .
Ray Inc.manufactures two types of gaming consoles,the sp2 hybrid and the sp3 hybrid models.The manufacturing process consists of two principal departments: design and production.The design department has 58 skilled workers,each of whom works 7 hours per day.The production department has 25 workers,who also work a 7-hour shift.On an average,to produce an sp2 hybrid,Ray Inc.requires 3.5 labor hours for design and 2 labor hours for production.The sp3 model requires 4 labor hours for design and 1.5 labor hours in production.The company anticipates selling at least 1.5 times as many sp3 models as sp2 models.The company operates five days per week and makes a net profit of $130 on the sp2 model,and $150 on the sp3 hybrid model.Ray Inc.wants to determine how many of each model should be produced on a weekly basis to maximize net profit.
-If the number of sp2 and sp3 models manufactured by the company are 100 and 150 respectively,the number hours used in the design department is ________.

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