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

question 9

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.
-Which of the following statements is true of the number of sp³ and sp² hybrids to be manufactured in a week?

• A)If the numbers of sp³ and sp² units manufactured per week are 362 and 165 units respectively,the difference between the number of hours used by the design department and the design department's labor time limitation is 30 labor hours/week.
• B)If the numbers of sp³ and sp² units manufactured per week are 360 and 160 units respectively,the difference between the production department's labor time limitation and the number of hours used by the production department is 15 labor hours/week.
• C)If the numbers of sp³ and sp² units manufactured per week are 360 and 160 units respectively,the number of labor hours used by the design department is 825 labor hours/week.
• D)If the numbers of sp³ and sp² units manufactured per week are 355 and 155 units respectively,the number of labor hours used by the production department is 1962.5 labor hours/week.