Final answer:
The company must sell 500 T-shirts in order for income to equal expenses.
Step-by-step explanation:
To determine the number of T-shirts the company must sell in order for income to equal expenses, we need to consider the costs of the printing machine and the T-shirts. Let's go through each given set of values:
1. printing machine: $5000.00; T-shirt: $10.00 each
Expenses: $5000.00 (printing machine) + ($10.00 x number of T-shirts)
Income: $10.00 x number of T-shirts
To break even, income must equal expenses, so we can set up the equation:
$10.00 x number of T-shirts = $5000.00 + ($10.00 x number of T-shirts)
When we solve the equation, we find that the number of T-shirts the company must sell is 500.