P Limited manufactures wooden chairs at a unit cost of $\$70$ per chair. It has been asked to make a run of $1000$ wooden chairs with padded seats. For this, an extra $\$6000$ of materials is needed, together with another $500$ labour hours at $\$15$ per hour, and overheads rise by $\$2000$. Calculate the cost of the batch.
- A$\$13\,500$
- B$\$15\,500$
- C$\$83\,500$
- D$\$85\,500$