One requirement of a power-generating system states that it must provide 500 kWh (kilowatt hours) minimum output. The system has three power-generating subsystems, X, Y, and Z.

Constraints on physical size indicate that the output capacity of the overall system will be split among the three subsystems in the approximate ratio of 5:3:2. A 3 percent design margin is applied to the system and the subsystems. Note, because the power requirement is stated as minimum output, the target output will be 3 percent above the requirement.

a. What is the target requirement output for the overall system?

b. What are the target requirement outputs for each of the subsystems? (Remember, subsystem margins are in addition to the system margin.)

c. Suppose that, at best, Subsystem X can be designed to meet only 47 percent of the power output requirement for the overall system. Assuming that Subsystems Y and Z can be designed to meet their respective design targets, can the output requirement for the overall system also be met?