# Question

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 will operate as expected. The system is composed of two identical components, both of which must operate for the system to operate. The engineer can spend $ 173 for the two components. To the nearest two decimal places, what is the largest component probability that can be achieved?

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