Ben Johnson is the manager of the jewelry department of a large chain of department stores. The department store has succeeded on

the basis of customer service and quality of merchandise. As a manager, Ben is compensated with a salary of $$400,000$ and a bonus

based on his unit's operating income. The bonus pool is $10\%$ of company$-$wide operating income. When the unit's return on invested

assets exceeds the rate of return of the whole company, the unit manager is included in the bonus pool, which is divided evenly

among the managers who qualify for the bonus. In the current period, $25$ managers qualified for the bonus, including Ben.

Required:

Based on the above information, what is the amount of total compensation for Ben?

$$400,000$

$$476,750$

$$474,000$

$$486,000$