Company ABC operates 200 mining machines for Bitcoin. Each functioning machine has a 5% probability, independent of others, of experiencing a hardware issue on any given day. Most of these issues demand 45 minutes of a technician's time for repairs. However, each incident has a 30% chance of escalating into a more complex problem, each requiring an extra 2 hours of attention from a technician. You can assume that the severity of a hardware issue, whether minor or major, can only be assessed by a technician after 45 minutes of inspection. If the issue is minor, it will be resolved within this inspection period (i.e., no additional time is needed). If the issue is major, the technician will need another 2 hours should he or she continue to fix the problem. Technicians can dedicate up to 6 hours daily to repairs and are compensated $300 each day. Regardless of workload, every hired technician receives full pay. Should the company's technicians be overwhelmed, an external service, charging $115 per hour, is contracted. Machines serviced externally are only available by the end of the following day, with a standard $50 return fee per shipment, regardless of quantity. For instance, if two machines