The company can choose to buy a back-up machine for Step C for an additional $20,000. The back up would also have a reliability of 0.915, just like the one that is presently used. If they decide to get this back-up machine, what will the new reliability of the system be? Assume that once a machine malfunctions, the process continues to produce product, acceptable and defective. Use THREE decimal places in you calculations.

The complete question is:

A certain company produces 10,000 tables per year in a three-step process. The three steps in the process employ machines with the reliabilities listed here:

Step A - 0.987 Step B – 0.979 Step C – 0.915

New reliability= 0.9593 ~ 0.959

Explanation:

Reliability is used in manufacturing process to ensure that a process produces the same level of output consistently. A process is reliable if it achieves the same results everytime.

Reliability can be applied to individuals, data, processes, and products.

In this instance we are to calculate the new reliability of the backup system.

Reliability of step C is 0.915

New reliability= 1 - (1- 0.915)^2

New reliability= 0.992775

Multiply this value by the reliability in step A and B to get system reliability

System reliability= 0.992775 * 0.987 * 0.979

System reliability= 0.9593

u = 30

continuing your method

= +

subtract from both sides

= - thus

= -

= ⇒ u = 30

the correct answer is b.)