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.

Step-by-step explanation:

We use the attached graph

a. The maximum profit is the y value that

is the value of P(x) that reaches maximum.

From the graph the maximum value of P(x) is

675.

So the maximum profit the florist will earn

from selling bouquets = $675

b. Break even is the point where the profit

PX) becomes 0

From the graph we can see that P(x) =0 at x=

10 and x=20

x=-10 is invalid

So, break even after 20 one- dollar

decreases

c. The interval of number of one dollar

decreases is where the profit P(x) is greater

than 0.

From the graph its very clear that the profit

Px) is greater than 0 in the interval 0 to 20.

So, The interval of number of one dollar

decreases for which the florist makes a profit

from celebration bouquet is (0, 20).

95.03 is the answer. hope this !