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. she noticed that when 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 statements about the 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. she noticed that when 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 statements about the 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 the maximum - point on the profit graph

The maximum of the parabolic - shaped profit function $P(x)$ is the highest point on the graph. Looking at the graph, the $y$ - value (representing profit) at the maximum point is $600$.

Step2: Identify the break - even points

The break - even points occur when the profit $P(x)=0$. Looking at the graph, the $x$ - values (representing the number of one - dollar decreases) where the graph intersects the $x$ - axis are $x = 2$ and $x = 18$.

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $$600$. The florist will break - even after $2$ or $18$ one - dollar decreases.