Consider an automated security test (e.g., explosives-scanning) station for checked baggage at CVG, the Cincinnati-Northern Kentucky airport. The test workstation is composed of a single machine that has a base-case test capacity of 4 bags per minute. (It takes on average .25 minutes to process a bag.) The squared coefficient of variation, SCV, of the base processing time of the test operation is 0.36, making the standard deviation equal to 0.15. The machine is subject to random failure with mean time to failure (MTTF or uptime), m_f = 480 MIN and mean time to repair (MTTR or downtime), m_r = 40 minutes. The repair time is exponentially distributed with SCV, c_r² = 1.

ORIGINAL: Calculate the mean and SCV of the effective processing time, t_e , c_e² and machine availability, after incorporating machine breakdown.

Delays caused by the machine breakdowns are frowned upon by customers because they could cause customers to miss their flights. The department has been given $10,000 dollars that they can spend on improvements and they have 2 choices.

OPTION A: Increase the mean time to failure (MTTF or uptime), m_f = 960 min with all other factors remaining the same. Calculate the mean and SCV of the effective processing time, t_e , c_e² and machine availability.

Option B: Decrease the mean time to repair (MTTR or downtime), m_r = 20 minutes. The new repair time is estimated to be exponentially distributed with SCV, c_r² = 1. Leave all other factors the same as in the initial problem, i.e MTTF would be equal to 480 min with this scenario. Calculate the mean and SCV of the effective processing time, t_e , c_e² and machine availability.

Provide the results of the Original Analysis, Option A and Option B below. ROUND ALL NUMBERS TO 2 DECIMAL PLACES.