A product engineer has developed the following equation for the cost of a system component:C (10P)2, where C is the cost in dollars and P is the...

A product engineer has developed the following equation for the cost of a system component:C (10P)2, where C is the cost in dollars and P is the probability that the component willoperate as expected. The system is composed of two identical components, both of which mustoperate for the system to operate. The engineer can spend $173 for the two components. To thenearest two decimal places, what is the largest component reliability that can be achieved?