Captain machines and regular machines

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Reference no: EM131372093

The Ranger group of industries has a factory that produces action figures based on estimated demand. Two types of machines can be used to make these figures: Captain machines and Regular machines. Captain machine takes 7 minutes (of machine time) to produce each figure and Regular machine takes 6 minutes (of machine time) to produce each figure. It costs 1.3 $ per figure at the Captain machine and 1.35$ at the Regular machine. It takes on an average 5 minutes of labor time at the Captain machine and 2 minutes of labor time at the Regular machine. The factory has 30 regular machines and 6 captain machines. The machines operate five days a week for 9 hours each day. The factory also has 7000 hours of labor time available for this quarter dedicated to this process. Any action figure that cannot be manufactured in the factory, because of limited capacity, will have to be purchased from an external supplier at a cost of 1.7$ per figure. The expected demand for the next quarter is 200,000. The Ranger Group would like to meet this demand at the lowest cost possible and the manager needs to come up with a production plan for each of its two machines to process the action figures during the coming quarter (13 weeks). Use Solver to find the optimal solution. The optimal number of figures to outsource to an external supplier in that quarter is_______________ (keep two decimals) and the optimal cost in the quarter is _______________(keep two decimals). Hint: It might helpful to setup three decision variables for this model (one for each type of machine and the third for number outsourced). Also convert all time units to hours to maintain consistency.

Reference no: EM131372093

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