One requirement of a power-generating system states that it must provide 500 kwh minimum output. The system has three power-generating subsystems, X, Y, and Z. Constraints on physical size indicate that the output capacity of overall system will be split among the three subsystems in the approximate ratio of 5:3:2. Suppose a design margin of 3 percent is applied to the system and the subsystems. Note that because the power requirement is stated as minimum output, the design margin would set the target output at 3 percent higher than 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 the Subsystems Y and Z can be designed to meet their respective design targets, will the output requirement for the overall system be met?