Quantity of Lanterns | Fixed Cost ($) | Variable Cost ($) | Total Cost ($) | Average Total Cost ($) |
50 | 250 | 250 | 500 | 10.00 |
75 | 250 | 390 | 640 | 8.53 |
90 | 250 | 522 | 772 | 8.58 |
120 | 250 | 714 | 964 | 8.03 |
150 | 250 | 1049 | 1299 | 8.66 |
200 | 250 | 1600 | 1850 | 9.25 |
210 | 250 | 2100 | 2350 | 11.19 |
The table above shows cost data for a producer of lighting fixtures. Answer the questions using the information shown in the table and show your calculations.
1. What is the total variable cost of production when the firm produces 150 lanterns?
2. What is the total fixed cost of production when the firm produces 210 lanterns?
3. What is the average total cost per unit of production when the firm produces 120 lanterns?
4. If the producer wants to maximize its profit, assuming a constant market price, how many lanterns should it produce?
1. TVC at 150 lanterns = 1049
2. TFC at 210 lanterns = 250
3. ATC at 120 lanterns = 964/120 = 8.03
4. To maximize profit, the firm can produce at a point where ATC is minimum and hence it can produce 120 units. Below as an example it can be seen, by keeping price at $10, the profit is maximised
Quantity of Lanterns | Total Cost ($) | Average Total Cost ($) | TR at price of $10 | Profit= TR-TC |
50 | 500 | 10 | 500 | 0 |
75 | 640 | 8.53 | 750 | 110 |
90 | 772 | 8.58 | 900 | 128 |
120 | 964 | 8.03 | 1200 | 236 |
150 | 1299 | 8.66 | 1500 | 201 |
200 | 1850 | 9.25 | 2000 | 150 |
210 | 2350 | 11.19 | 2100 | -250 |
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