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

Use the scenario given below to answer the following question(s) .
The Ranger group of industries has a factory that produces three types of action figures,types 1,2,and 3,on a make-to-order basis.The factory operates five days a week for 9 hours each day.The key decision facing the manager is what type of machine should be used to process each action figure during the coming quarter (13 weeks) .Two types of machines can be used: captain and regular.Captain machines can be used to make all action figures and are the only machines that can produce certain action figures,such as "The move action figures." Demands,variable costs for each type of machine,and production rates on the machines are given in the table below.
The factory has 30 regular machines and 6 captain machines.After manufacturing,the action figures are sent to the finishing department and then sold.Any action figure that cannot be manufactured in the factory because of limited capacity will be purchased from an external supplier,finished at the factory,and sold at the market selling price.
-If C_i,R_i,and P_i (where i = 1,2,3…) are used to denote the number of action figures to be produced on captain machines,the number of action figures to be produced on regular machines,and the number of action figures purchased from an outside supplier respectively,determine the constraint on available production time on captain machines.

A) 0.0962 R₂ + 0.1136 R₃ ≤ 3,510 hours
B) 0.0962 C₂ + 0.114 C₃ ≤ 17,550 hours
C) 0.106 C₁ + 0.096 C₂ + 0.114 C₃ ≤ 3,510 hours
D) 0.769 C₁ + 0.820 C₂ + 1.00 C₃ ≤ 3,510 hours