Final answer:
The efficiency of the power cycle is calculated using the ratio of work output to heat input, which results in an efficiency of 45%, making the correct answer 1) 0.45.
Step-by-step explanation:
To calculate the efficiency of the power cycle, we use the formula for thermal efficiency which is Efficiency = (Work output / Heat input). Here, the work output (power generated) is given as 0.45 MW and the heat input from the hot reservoir is 1 MW. Thus, the efficiency can be calculated as follows:
Efficiency = Work output / Heat input = 0.45 MW / 1 MW = 0.45 or 45%.
Therefore, the correct answer from the given options is 1) 0.45.