Mathematics, 26.03.2021 23:50 Turtles8276
Yogurt Extreme on Monroe Avenue across from Rogers Hall makes their own yogurt. Each week, they execute a process to full the next weeks demand. First, the dairy cows to produce milk which must meet a particular quality standard in order to be used for production. The milk meeting this standard is then properly processed into delicious yogurt in a Dairy Processing Lab. Finally, the yogurt is distributed to the vendor on campus. There are 10 cows used for dairy production and to meet weekly demand, 8 of them must produce quality milk. The vet students guarantee that each cow will produce adequate quality milk 90% of the time. The lab needs three employees to operate and currently has three employees on payroll. Each employee shows up 85% of the time. The ice cream is sent to vendors using three university trucks. One truck can do the job and each truck is broken down (unable to deliver) 5% of the time.(a) Determine the reliability of Yogurt Extreme's ability to fulfill their daily demand. (10) Hint: Break this process down into subsystems. (b) Yogurt Extreme is interested in ensuring that their truck delivery system (third part of their overall process) meets a specific level of reliability. Assuming enough yogurt is made to ship, how many trucks should be in the fleet to ensure that delivery occurs 99.99% of the time?
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