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 $$ \rightarrow $$

Question

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To find the **break-even point** where both printing companies charge the same total cost, let's set up the cost equations for each company and solve for the number of shirts $$ x $$.

### Cost Equations:

1. **Master Ink**
   - **Flat Rate:** \$35
   - **Per Shirt:** \$5
   - **Total Cost:** $$ C_1(x) = 35 + 5x $$

2. **Totally Tee**
   - **Flat Rate:** \$20
   - **Per Shirt:** \$8
   - **Total Cost:** $$ C_2(x) = 20 + 8x $$

### Setting the Costs Equal:

To find the break-even point, set $$ C_1(x) $$ equal to $$ C_2(x) $$:

$$
35 + 5x = 20 + 8x
$$

### Solving for $$ x $$:

1. Subtract \$20 from both sides:

$$
35 - 20 + 5x = 8x
$$

$$
15 + 5x = 8x
$$

2. Subtract $$ 5x $$ from both sides:

$$
15 = 3x
$$

3. Divide both sides by 3:

$$
x = 5
$$

### Conclusion:

The **break-even point** occurs when printing **5 shirts**. At this quantity, both Master Ink and Totally Tee charge the same total cost.

- **Master Ink Cost:** $$ 35 + (5 \times 5) = \$60 $$
- **Totally Tee Cost:** $$ 20 + (8 \times 5) = \$60 $$

Both companies charge \$60 for printing 5 shirts, confirming the break-even point.

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

You’re printing shirts for your te zoomm Master Ink charges a flat rate of $35 and per shirt. Totally Tee’s charges for each shirt and a flat rate of .
8. What is the break even point?

Hint: Where do the two lines touch?

Type a response
Previous
2 of 3
Next

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Solución

Cost Equations:

Setting the Costs Equal:

Solving for :

Conclusion:

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