a florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30…

a florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. if she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. the relationship between her weekly profit, $p(x)$, after $x$ one - dollar decreases is shown in the graph below. use the graph to complete each statement about this situation. the maximum profit the florist will earn from selling celebration bouquets is $ . the florist will break - even after one - dollar decreases.

a florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. if she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. the relationship between her weekly profit, $p(x)$, after $x$ one - dollar decreases is shown in the graph below. use the graph to complete each statement about this situation. the maximum profit the florist will earn from selling celebration bouquets is $ . the florist will break - even after one - dollar decreases.

Answer

Explanation:

Step1: Identify maximum profit on graph

The maximum value of the $P(x)$ function on the graph is the highest - point on the curve. Looking at the $y$ - axis (which represents profit $P(x)$), the highest value is at $y = 600$.

Step2: Identify break - even points

The break - even points occur when $P(x)=0$. Looking at the $x$ - axis (which represents the number of one - dollar decreases $x$), the curve intersects the $x$ - axis at $x=- 8$ and $x = 20$. Since the number of one - dollar decreases cannot be negative in this context, the relevant break - even point is at $x = 20$.

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $$600$. The florist will break - even after $20$ one - dollar decreases.