Chris operates a small sign-making business. he finds that if he charges x dollars for each sign, he sells 44−x signs per week. what is the smallest number of signs that he can sell to have an income of $420 in one week?

smallest number of signs that he sell is 14

Explanation:

Given data

charges = x dollars

sells = 44−x signs per week

income = $420

to find out

smallest number of signs

solution

we consider he sell small x number of signs

so

we can say here

income = price  × quantity

so

420 = x (44-x)

420 = 44x - x²

x² - 44x + 420 = 0

x=14 or x=30

here small no is 14

so smallest number of signs that he sell is 14