A clothes shop owner has found that if he sells a particular dress for a price of $200 each, he can sell 100 such dresses in a month. He also knows that for every $4 that he increases the selling price of the dress by, he will sell two dresses less. If in a particular month he increases the price and sells at $P per dress, what is the total revenue he will get in that month from selling these dresses?
(A) P^2 / 2
(B) 200 - P/2
(C) 50P + P^2/2
(D) 150P - P^2/4
(E) 200P - P^2/2
(100 - (P-200)/2)P = 200P - P^2/, E
One small problem, $2 means one less dress, what about a dollar increase? sell for $201 and make an extra 100 bucks!