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Standard Rope LLC produces three types, Product I, Product II and Product III, of rope for industrial purposes. Three machines, Machine A, Machine B
Standard Rope LLC produces three types, Product I, Product II and Product III, of rope for industrial purposes. Three machines, Machine A, Machine B and Machine C, are utilized to achieve three processes, weaving, treating and coiling, respectively. The abovementioned processes differ in duration for the three products, Product I, Product II and Product Ill and are listed below in hours. The firm operates throughout the year except for 77 closure dates. Also, the plant operates three 8- hour shifts. Each shift change yields a 30-minute interval where employees share the status of ongoing jobs and conduct brief safety meetings. Notably, no processes take place during shift changes. In addition to 30-minute shift changes, all machines require varying intervals of calibration, cleaning and maintenance and are conducted in accordance with the following schedule: Machine A Machine B Machine C Frequency (Hours) Duration (Minutes) Frequency (Hours) Duration (Minutes) Frequency (Hours) Duration (Minutes) Calibration (30) Cleaning (20) Maintenance (10) 200 30 650 30 200 30 550 20 700 20 410 20 120 10 220 10 145 10 "For example, Machine A undergoes a 30-minute calibration every 200 hours of operation. During this time, Process I is not being executed. 1. What is the design capacity of the plant's hours of operation to produce products? In essence, what are the available hours of operation when only considering days of closure? 2. What is the effective capacity in hours of each, A, B and C, machine type? Three product types, Product I, Product II and Product III, require different processing intervals during production. Specifically, the following table depicts the processing time in hours for each product/process combination:
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