Question

Find the break-even point for the given cost and revenue equations. Round to the nearest whole unit.


C = 20n + 134,000


R = 160n




a.

744

c.

140


b.

180

d.

957

Answer 1

@AravindG @Blank  @texaschic101

Answer 2

I am not too sure how to do this...I think you set them equal to each other and solve for n, which gives you 957. But I am not 100% sure that is how to do it

Answer 3

I got the same. :) 957.142857

Answer 4

thanks :)

Answer 5

20n + 134,000 = 160n -- subtract 20n from both sides
134,000 = 160n - 20n
134,000 = 140n
134,000 /140 = n
957 = n

Answer 6

Erin has developed a new lotion that will help children with sensitive skin. She invests $15,225 in equipment to manufacture and package her lotion. Each bottle costs $3.25 to manufacture and sells for $12. How many bottles of lotion must she make and sell before her business breaks even?


a.

998 bottles


b.

1740 bottles


c.

174 bottles


d.

1269 bottles

Answer 7

Is there a given equation already?

Answer 8

nope

Answer 9

I got x = 1740. What do the others say?

Answer 10

I put the problem in this equation. 12x - (15225 + 3.25x) = 0

Answer 11

Anyone?

Answer 12

15,225 + 325x = 12x
15,225 = 12x - 325x

oh...thats gonna be negative

Answer 13

A local band, The Desert Rats, is planning to make a compact disk. It will cost $12,500 to record and produce a master copy, and an additional $3.00 to make each sale copy. If they plan to sell the final product for $8.00, how many disks must they sell to break even?




a.

2500 disks


b.

1136 disks


c.

1562 disks


d.

4166 disks

Answer 14

wait...if it costs 3.25 to make each bottle, and they sell it for 12, then they make a profit of (12 - 3.25) = 8.75 per bottle

15,225/8.75 = 1740 (answer is B for the other one)

Answer 15

:)

Answer 16

I was right

Answer 17

$3 to make it, $8 to sell it.....they make $5 profit off of every disc
12,500/5 = 2500 discs to break even

Answer 18

Yep. I didn't want to type that all. The answer is A. 2,500 disks.

Answer 19

:)

Answer 20

Sarah is the president of the drama club and wants to publish a newspaper. Expenses are $.90 for printing and mailing each copy, plus $600 total for research and writing. The price of the newsletter is $1.50 per copy. How many copies of the newsletter must the club sell to break even?




a.

To break even, the drama club must sell 1000 copies.


b.

To break even, the drama club must sell 100 copies.


c.

To break even, the drama club must sell 250 copies.


d.

To break even, the drama club must sell 444 copies.

Answer 21

I got a. To break even, the drama club must sell 1000 copies.

Answer 22

600 + 0.9x = 1.5x

x = 1000

Answer 23

What is the best way to determine whether a given point is a solution to a system of equations?




a.

substitute the x and y coordinates into one equation and check to see if they work

c.

substitute the x and y coordinates into both equations and check to see if they work


b.

graph the equations and see if the point lies on both lines

d.

solve the system of equations and compare the answer to the given point

Answer 24

I just wondering by c and b are mixed up. :)

Answer 25

okay I have to go now thanks for all of your help

Answer 26

ill be on later and will ask for more help from you lol so thank you

Answer 27

answer is c by the way.

substitute the x and y coordinates into both equations and check to see if they work