Bar None Legal Services, Inc. is a consulting firm that offers optimal legal solutions. It allocates indirect costs using a single predetermined overhead allocation rate with direct labor hours as the allocation base. The estimated indirect costs for this year amount to $$200,000.$ The company is expected to work $8,000$ direct labor hours during the year. The direct labor rate is $$250$ per hour. Clients are billed at $140\%$ of direct labor cost. Last month, Bar None's consultants spent $175$ hours on Henderson, Inc. Calculate the total costs assigned and allocated to Henderson.

A$.$ $$43,750$

B$.$ $$48,125$

C$.$ $$183,750$

D$.$ $$13,125$