Question

You decide to market your own custom computer software. You must invest $3,255 for computer hardware, and spend $2.90 to buy and package each disk. If each program sells for $13.75, how many copies must you sell to break even?

196 copies
301 copies
300 copies
195 copies

Answer 1

If you do 13.75-2.90 you're left with 10.85. Divide 3255 by 10.85 you get 300.

300 copies is your answer

Answer 2

300 copies

Explanation:

Given : You must invest $3,255 for computer hardware, and spend $2.90 to buy and package each disk.

To Find: If each program sells for $13.75, how many copies must you sell to break even?

Solution:

Let x be the number of copies

You spend on 1 disk = $2.90

You spend on x disks = 2.90x

You must invest $3,255 for computer hardware

Total expenditure = 3255+2.9x

You sell each disk = $13.75

You sell x disk = $13.75x

Now to find how many copies must you sell to break even

`3255+2.9x=13.75x`

`3255=13.75x-2.9x`

`3255=10.85x`

`(3255)/(10.85)=x`

`300=x`

Hence you must sell 300 copies to break even.