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

question 63

Multiple Choice

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 numbers of sp² and sp³ hybrid gaming consoles produced each day are denoted as X₁ and X₂ respectively,the function that describes the production department's labor constraint for a week is ________.

• A)2X₁ + 1.5X₂ ≥ 875
• B)9X₁ + 8X₂ ≤ 3500
• C)2X₁ + 1.5X₂ ≤ 875
• D)9X₁ + 8X₂ ≥ 3500

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