Problem Solving

According to a financial analyst, if company C sets the unit selling price of its product at X dollars, then its monthly profit P in dollars is given by the formula P = 1000(4x-x^2-2). According to this formula at what amout should company C set the unit selling price of its product so that its monthly prifit is $2000?

1. $1
2. $2
3. $3
4. $4
5. $6

Answer is 2

2000 = 1000(4x-x^2-2)

2 = 4x – x^2 – 2

x^2 – 4x +4 = 0

(x-2)(x-2)=0

x=2

thank you