Given Data:

Hours expended: 10,278 hours

CPI (Cost Performance Index): 0.93

SPI (Schedule Performance Index): 1.03

To calculate Earned Hours:

Earned Value (EV) can be calculated using the formula: EV=AC×CPI\text{EV} = \text{AC} \times \text{CPI}EV=AC×CPI

However, since the question asks for hours earned rather than monetary values, we interpret "earned hours" as: Earned Hours=Hours Expended×SPI\text{Earned Hours} = \text{Hours Expended} \times \text{SPI}Earned Hours=Hours Expended×SPI

Therefore: Earned Hours=10,278×1.03≈10,586 hours\text{Earned Hours} = 10,278 \times 1.03 \approx 10,586 \text{ hours}Earned Hours=10,278×1.03≈10,586 hours

Answer:B. 10,586