Problem Solving

A furniture store wishes to sell 40 chairs. If each chair is sold at $156, then the store would be able to sell all the chairs. But for every $6 increase in the price of a chair, the store will be left with one additional unsold chair. Assuming that unsold chairs will remain with the store, at what price must the store sell each chair so that it is able to maximize its profit?

(A) $162

(B) $196

(C) $198

(D) $202

(E) $214