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You're printing shirts for your te zoomm Master Ink charges a flat rate of \$35 and \( \$ 5 \) per shirt. Totally Tee's charges \( \$ 8 \) for each shirt and a flat rate of \( \$ 20 \). 8. What is the break even point? Hint: Where do the two lines touch? Type a response Previous 2 of 3 Next \( \rightarrow \)

Ask by Pena Parry. in the United States
Jan 24,2025

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Answer

The break-even point is when printing 5 shirts, where both Master Ink and Totally Tee charge the same total cost of \$60.

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Beyond the Answer

To find the break-even point, you'll set the costs equal to each other. Master Ink's cost can be described by the equation \( C_1 = 35 + 5x \) and Totally Tee's by \( C_2 = 20 + 8x \), where \( x \) is the number of shirts. Setting them equal gives us \( 35 + 5x = 20 + 8x \). Solving for \( x \) shows that at \( x = 5 \), both companies charge you the same amount—$60. So, the break-even point is when you order 5 shirts! But here's the fun part: This is not just about numbers; it's a race to see which service gets you more bang for your buck! Knowing your break-even allows you to strategize which service might save you money on larger orders, turning printing shirts into a savvy investment rather than just an expense!

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