Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

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 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.

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

Answer 1

Answer: EDMENTUM AND PLATO

First Blank: $625

Second Blank: 20

Third Blanks: ( 0, 20 )

Explanation:

Answer 2

Given : A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week . and graph

To Find : Maximum profit , breakeven point , profit interval

Solution:

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

peak of y from Graph

The florist will break-even after Selling 20 one-dollar decreases.

at breakeven

Break even is the point where the profit p(x) becomes 0

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

after 20 , P(x) is - ve