Data Sufficiency

A company makes and sells two products, P and Q. The costs per unit of making and selling P and Q are $8.00 and $9.50, respectively, and the selling prices per unit of P and Q are $10.00 and $13.00, respectively. In one month the company sold a total of 834 units of these products. Was the total profit on these items more than $2,000?

(1) During the month, more units of P than units of Q were sold.
(2) During the month, at least 100 units of Q were sold.

[spoiler]OA=E[/spoiler]

Source: Official Guide

Question => Was the total profit more than $2000
Profit of P = 10 - 8 = 2
Profit of Q = 13 - 9.5 = 3.5
P + Q = 834 => 2P = 2 ( 834 - Q )
2P = 1668 - 2Q
Question rephrased as 2P + 3.5Q > 2000 ?
=> 1668 - 2Q + 3.5 > 2000 ?
Q > 221.3 ?
Statement 1 => During the month more units of P than units of Q were sold.
Therefore, P > Q => 418 > Q > 416 834 > Q > 0
if P = 834 than 2P = 1668 < 2000
if P = 418 and Q = 416 then ( 2 * 418 + 416 * 3.5 ) > 2000
Hence, statement 1 is NOT SUFFICIENT

Statement 2 => During the months, at least 100 units of Q were sold
if Q = 100 then ( 2 * 734 + 100 * 3.5 ) < 2000
if Q = 834 then ( 834 * 3.5 ) > 2000
Hence, statement 2 is NOT SUFFICIENT

Combining both statement together,
If P = 417 and Q = 300 then profit > 2000 but if P = 417 and Q = 200, then profit is < 200

BOTH ARE NOT SUFFICIENT...
Answer = E