Answer:
[tex]y=-50x^2+300x+2000[/tex].
Step-by-step explanation:
It is given that a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week.
[tex]Revenue=10\times 200=2000[/tex]
If he reduces the price by $1,then he sells 50 more candle sets each week.
[tex]Revenue=(10-1)\times (200+50)=9\times 250=2250[/tex]
If he reduces the price by x $1,then he sells 50x more candle sets each week.
[tex]R(x)=(10-x)\times (200+50x)[/tex]
[tex]R(x)=10(200+50x)-x(200+50x)[/tex]
[tex]R(x)=2000+500x-200x-50x^2[/tex]
[tex]R(x)=-50x^2+300x+2000[/tex]
It can be written as
[tex]y=-50x^2+300x+2000[/tex]
Therefore, the situation can be modeled by the equation [tex]y=-50x^2+300x+2000[/tex].
