The question in the image is an economic problem that deals with total cost (TC) and total revenue (TR) in determining the break-even point (pulang pokok) and analyzing profitability at a certain production level.

The provided equations are:

• Total Cost (TC): $TC = 20,000 + 100Q$
• Total Revenue (TR): $TR = 200Q$

Where:

• $Q$ is the number of units produced.

Part 1: Finding the Break-even Point

At the break-even point, total revenue equals total cost: $TR = TC$ Substitute the given equations for TR and TC: $200Q = 20,000 + 100Q$ Now, solve for $Q$: $200Q - 100Q = 20,000$ $100Q = 20,000$ $Q = \frac{20,000}{100} = 200$

Thus, the break-even point occurs when the company produces 200 units.

Part 2: Analyzing for 150 Units of Production

Next, we calculate the total cost and total revenue if the company produces 150 units.

• Total Revenue at $Q = 150$: $TR = 200 \times 150 = 30,000$
• Total Cost at $Q = 150$: $TC = 20,000 + 100 \times 150 = 20,000 + 15,000 = 35,000$

At 150 units, the total cost is 35,000, and the total revenue is 30,000. Therefore, the company is operating at a loss of 5,000 because the total revenue is less than the total cost.

Summary:

• Break-even point: 200 units.
• At 150 units: The company incurs a loss of 5,000.

Would you like more detailed explanations or have any questions about the steps?

Here are 5 related questions for practice:

1. How do you calculate profit or loss at any production level?
2. What happens if the company produces more than 200 units?
3. How would the break-even point change if fixed costs increased?
4. What is the significance of the break-even point in business analysis?
5. How does the relationship between fixed costs and variable costs impact profitability?

Tip: When analyzing break-even points, always keep in mind that producing less than the break-even quantity results in a loss, while producing more leads to profit.