A T-shirt printing company sells T-shirts for $15 each. The company has a fixed cost for the machine used to print the

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A T-shirt printing company sells T-shirts for $15 each. The
company has a fixed cost for the machine used to print the
T-shirts and an additional cost per T-shirt. Use the table to
estimate the number of T-shirts the company must sell in order
for the income to equal expenses.
T-Shirt Printing Cost
Printing Machine $3000.00
Blank T-Shirt $5.00
Write an equation to represent the income and the expenses. Then
solve to find how many T-shirts need to be sold for both values to
be equal.

1 thought on “A T-shirt printing company sells T-shirts for $15 each. The company has a fixed cost for the machine used to print the”

  1. Answer:
    300 t-shirts must be sold to cover all expenses.
    Step-by-step explanation:
    No table is provided to make the estimate.  The mathematical question is solved below:
    ————————
    Let T be the number of t-shirts, I is the Income, and E is the total expense.
    There are two types of expenses:  fixed and variable:  
       Fixed = $3000 for the Printing Maching
       Variable = ($5.00)*T  [each t-shirt costs $5 to make.]
    Total  Expenses:  E = 5T + 3000
    The Income is:     I = 15T  [Each t-shirt sells for $15]
    To find the number of t-shirts required to equal expenses, set these two equations for I and E equal to each other:    
         I = E
    15T = 5T + 3000
     10T = 3000
         T = 300 t-shirts must be sold to equal all expenses.  [Breakeven]

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