The architecture firm of Dream Design Company uses a job order cost system in pricing the home blueprints it designs for its clients. The company$$s predetermined overhead rate is $130\%$ of direct labor cost $($which$,$ in this situation, is the amount paid to the company$$s designers$).$ Dream Design Company estimates that it will take $32$ labor hours $($paying the designers $$3,200)$ to complete the home designs for its client Joan Smitte.

What is the total cost to Dream Design Company to complete this project?