The number of total price can be divided by $3$ and $8$. It can be divided by $8$ which means the tens digit must be $3$ or $7$. And when the tens digit is $7$, the number can be divided by $3$.  Thus, the total price is $7872$ dollars, and each of the machine is $328$ dollars. 
Lucas buys $24$ machines. But two of the digits of the total price on the invoice are not clear, which only show $\overline{\square 8\square 2}$ dollars. The purchasing agent says the two unclear digits on the invoice are the same. Given that the unit price of this kind of machine is an integer, how much is it? 

(A) $$76$$ 
(B) $$160$$ 
(C) $$202$$ 
(D) $$328$$ 
(E) $$412$$ 