A camera manufacturer spends 1,800 each day for overhead expenses plus $9 per camera for labor materials. The cameras sell for $18 each

Answer 1

Let's analyze the camera manufacturer's costs, revenue, and profit.

### Costs:
1. Daily Overhead Expenses: $1,800
2. Cost per Camera: $9 (labor and materials)

Let \( x \) be the number of cameras produced and sold in a day.

**Total Daily Cost (C):**
\[ C = 1800 + 9x \]

### Revenue:
The selling price per camera is $18.

**Total Daily Revenue (R):**
\[ R = 18x \]

### Profit:
Profit is the total revenue minus the total costs.

**Daily Profit (P):**
\[ P = R - C \]
\[ P = 18x - (1800 + 9x) \]
\[ P = 18x - 1800 - 9x \]
\[ P = 9x - 1800 \]

### Break-even Point:
To find the break-even point, set the profit \( P \) to 0 and solve for \( x \):

\[ 0 = 9x - 1800 \]
\[ 9x = 1800 \]
\[ x = \frac{1800}{9} \]
\[ x = 200 \]

So, the break-even point is when 200 cameras are produced and sold in a day.

### Summary:
- **Total Daily Cost (C):** \( 1800 + 9x \)
- **Total Daily Revenue (R):** \( 18x \)
- **Daily Profit (P):** \( 9x - 1800 \)
- **Break-even Point:** 200 cameras per day