Problem Solving

A clothing manufacturer has determined that she can sell 100 suits a week at a selling price of 200$ each. For each rise of 4$ in the selling price she will sell 2 less suits a week. If she sells the suits for x$ each, how many dollars a week will she receive from sales of the suits?
A) 20, 35, 70
B) 20, 45, 70
C) 20, 35, 40
D) 35, 40, 70
E) 35, 40, 45

A clothing manufacturer has determined that she can sell 100 suits a week at a selling price of 200$ each. For each rise of 4$ in the selling price she will sell 2 less suits a week. If she sells the suits for x$ each, how many dollars a week will she receive from sales of the suits?

Assuming that the value of X is greater than 200. Let Z be the number be the number of '$4 increase' in the price of the suit and let S be the number of suits sold.

X = 200 + 4Z. i.e. Z = X/4 - 50
S = 100 - 2Z. i.e. S = 100 - 2[X/4 - 50] = 100 - X/2 + 100 = 200 - X/2

Money the manufacturer makes during the week = Cost per Suit * Number of suits
= X * (200 - X/2) = [200X - (X^2)/2]

Can you recheck the source for the answer choices please ?

the answer's very right