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.
Correct Answer:
Verified
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