Question

Please help! I will give you a medal and become your fan! I've been waiting for over an hour. :(

Suppose you start an ice cream business. You buy a freezer for $200. It costs you $0.35 to make a single-scoop ice cream cone. You sell each cone for $1.20. Write and solve a system of equations to find the break-even point for your business.

Answer 1

You need to find the expenses and the amount coming in and set them equal.
Let's use x as the number of cones needed to break even.

E = Expenses:
You have a fixed expense of $200.
Then you have an expense of $0.35 per cone for x cones.

R = Revenue
The amount coming in is $1.20 per cone for x cones.

Answer 2

but it has to be solved with a system and I am having trouble creating a system

Answer 3

what do u mean system

Answer 4

a system of equations

Answer 5

i dont know what you mean im sorry

Answer 6

Okay, it's okay.

Answer 7

Cost Function: y = 200 + .35x where x is the number of cones made
(The 200 is for the freezer.)

Income: y = 1.20 * x where x is the number of cones sold

Solve these two and you'll get the break-even point.

y = 200 + .35x
y = 1.20 * x

@dancerjeff