The total cost for Aling Nena to produce Buko Pie is broken down into fixed cost and variable cost. Fixed cost is $35,000 a week and the variable cost is 160 for each box of buko pie. Aling Nena sells her buko pie at P300 a piece. Does Aling Nena make profit when she sells 2,000 boxes a week?

To determine if Aling Nena makes a profit by selling 2,000 boxes of buko pie a week, we need to compare her total costs with her total revenue. Here's how we can calculate it:

### 1. **Total Cost**:
The total cost is the sum of the fixed cost and the variable cost for producing the pies.

- **Fixed cost**: $35,000 (weekly fixed cost)
- **Variable cost**: $160 per box

For 2,000 boxes:
\[
\text{Variable cost} = 160 \times 2000 = 320,000
\]

\[
\text{Total cost} = \text{Fixed cost} + \text{Variable cost} = 35,000 + 320,000 = 355,000
\]

### 2. **Total Revenue**:
The total revenue is calculated by multiplying the number of boxes sold by the selling price per box.

- Selling price per box = $300

For 2,000 boxes:
\[
\text{Total revenue} = 300 \times 2000 = 600,000
\]

### 3. **Profit**:
Profit is the difference between total revenue and total cost.

\[
\text{Profit} = \text{Total revenue} - \text{Total cost} = 600,000 - 355,000 = 245,000
\]

Since the profit is $245,000, **Aling Nena makes a profit** when she sells 2,000 boxes of buko pie a week.

Would you like more details or have any questions about this?  
Here are some related questions:
1. How would the profit change if the variable cost per box increased?
2. What happens to the profit if Aling Nena only sells 1,500 boxes per week?
3. How many boxes must Aling Nena sell to break even?
4. How much additional profit does she make if she sells 2,500 boxes instead of 2,000?
5. What is the percentage profit based on her total revenue?

**Tip**: To understand a business's profitability, always calculate both total costs (fixed + variable) and compare them with total revenue.

Learn how to calculate the profit Aling Nena makes from selling 2,000 boxes of buko pie weekly. This problem involves key mathematical concepts like cost analysis, profit and revenue calculation. Understand how fixed and variable costs affect profitability. Suitable for Grades 8-10 students.

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