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 a9ction 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,determine the constraint on available production time on regular machines.

Question

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 a9ction 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,determine the constraint on available production time on regular machines.

Quizplus · Accepted Answer

The constraint on available production time on regular machines can be calculated by multiplying the production rate for each type of action figure on regular machines by the corresponding variable cost per unit for regular machines, then summing these products over all types of action figures, and dividing the result by the total variable cost per hour for regular machines. The equation for this constraint is: (0.164 R₁ + 0.0962 R₂ + 0.1136 R₃) / 0.328 ≤ available production time on regular machines in hours Simplifying this equation gives: 0.5 R₁ + 0.2933 R₂ + 0.3457 R₃ ≤ available production time on regular machines in hours Substituting the given total production time of 17,550 hours for regular machines and solving for R₂ and R₃ gives: 0.0962 R₂ + 0.1136 R₃ ≤ 1,755 / 10,000 Multiplying both sides by 10,000 and rounding the result gives: 962 R₂ + 1,136 R₃ ≤ 17,550 Which matches the constraint in answer choice A. Therefore, the best choice is A.

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