Sheridan Company is planning to sell $1300$ boxes of ceramic tile, with production estimated at $1270$ boxes during May. Each box of tile required $42$ pounds of clay mix and a $0\mathrm{.}25$ hour of direct labor. Clay mix costs $$0\mathrm{.}50$ per pound and employees of the company are paid $$13$ per hours. Manufacturing overhead is applied at a rate of $110\%$ of direct labor costs. Sheridan has $3900$ pounds of clay mix in beginning inventory and wants to have $5200$ pounds in ending inventory.

What is the budgeted amount of direct materials to be purchased $($in pounds$)$ for the month?

a$)53340$

b$)55900$

c$)54640$

d$)52040$