Question

A floor is currently makes a profit of $20 on each of her celebration bouquets And sells an average of 30 buckets every week she noticed that when she reduces the price such that she earns wondow Less and profit from each bucket she then says three more bulkheads per week the relationship between her monthly profit P(x), after x one-dollar decreases shown in the graph below. use the graph to complete each statement about this situation.

Answer 1

1)

The maximum profit the florist will earn from selling celebration bouquets can be found at the vertex point of the graph plot of P(X):

`\begin{gathered} A\text{ division on the y-axis of the plot represents \$75} \\ So\text{ the vertex value is \$600+\$75 = \$675} \end{gathered}`

The maximum profit the florist will earn from selling celebration bouquets is $675

2)

The florist will break even when there is no profit or loss.

And looking at the plot on the x-axis, that will be at 20 one-dollar decreases.

3)The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0,20)