Answer: New Profit Function is P(x)=-2x^2+44x-42
Explanation:
Write a function for Revenue first (Price * Units Sold = Revenue)
r(x)=(48-2x)x
Now you can write a function for profit.
P(x)=(48-2x)x-(4x+42)
48x-2x^2-4x-42
P(x)=-2x^2+44x-42
Pop it into the graph and you would find that she has to sell 11 wind chimes to gain the maximum profit of 200 dollars.
If you want to solve with out a graph, use vertex form equation: -b/2a
-44/-4=11
-2(11)^2+44(11)-42=200.