Answer:
The highest price the bakery can charge, in dollars is $0.86623
Explanation:
We are given profit function as

where x is the price of a bagel in dollars
we are given least profit =200
so, we get inequality as

now, we have to find highest value of price or x
So, we will solve for inequality and then we choose largest value of x
Firstly, we set it equal and then we solve for x

We will multiply both sides by 10



we can use quadratic formula

now, we can compare and find a,b and c
a=-10000 , b=11000, c=-2025
we get




Firstly, we will draw a number line and locate these values
and then we can check sign of inequality on each intervals
so, we got interval as
![x:[0.2337,0.86623]](https://img.qammunity.org/2019/formulas/mathematics/college/9sb9u183s3byat6ap004ckf44g3sxvcvmb.png)
now, we can find largest x-value
x=0.86623
So, the highest price the bakery can charge, in dollars is $0.86623