Question

George is trying to make some decisions about his business and has come up with P = (x - 100)(x + 20), where P represents his profit margin and x represents the number of DVDs he sold. What does (x - 100) mean? A) That he will make $100 if he sells no DVDS B) That the most amount of money he can make is $100. Eliminate C) That in order to make zero profit he must sell 100 DVDs. D) That in order to make the most profit he must sell 100 DVDs.

Answer 1

If x represnts the number of DVDs he sold, then if 100 were to be subtracted from x amount of DVDs he sold then the answer would be C) That in order to make zero profit he must sell 100 DVDs.

Don't quote me on that.

Answer 2

C) That in order to make zero profit he must sell 100 DVDs.

Explanation:

George has calculated profit funcion of his business as

`P(x) = (x-100)(x+20)` where x represents the number of DVDs he sold.

From this expression we find that profit is 0 when
`x=100`

Option a is wrong because if x=0, loss =2000. B is wrong because he does not get any profit for sales of 100.

D is wrong because 0 is not maximum profit.

Hence from the four options given we find that option C is right answer.

C) That in order to make zero profit he must sell 100 DVDs.