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?

300

To calculate the number of copies you must sell to break even, we need to consider the total expenses and the revenue from selling each copy of the software.

First, let's calculate the total expenses:

1. Computer hardware cost: $3,255
2. Cost per disk (including packaging): $2.90

The total cost per copy is the sum of these two expenses:

Total cost per copy = Computer hardware cost + Cost per disk
= $3,255 + $2.90

Next, let's calculate the revenue from selling each copy of the software:

Selling price per copy = $13.75

To break even, the total revenue must cover the total expenses. Therefore, the number of copies to sell to break even can be calculated as follows:

Number of copies to sell = Total expenses / Selling price per copy
= (Computer hardware cost + Cost per disk) / Selling price per copy

Plug in the given values:

Number of copies to sell = ($3,255 + $2.90) / $13.75

Calculating this expression will give us the number of copies you must sell to break even.

To figure out how many copies you need to sell to break even, let's calculate the total cost and the revenue generated by selling each copy of the software.

1. Total cost:
- Computer hardware cost: $3,255
- Cost per disk (including packaging): $2.90

To calculate the total cost, add the hardware cost to the cost per disk multiplied by the number of disks:
Total cost = $3,255 + ($2.90 * number of disks)

2. Revenue per copy:
- Selling price per copy: $13.75

To break even, the total revenue from selling copies of the software should cover the total cost. Therefore, we need to find the number of copies that would generate the same revenue as the total cost, which can be calculated by dividing the total cost by the selling price per copy:

Number of copies to break even = Total cost / Selling price per copy

Let's use these formulas to calculate the number of copies needed to break even.

3255 + 2.9x = 13.75x