(See Solution) A firm’s product sells for $2 per unit in a highly competitive market. The firm produces output using capital (which it rents at $75 per hour)
Question: A firm’s product sells for $2 per unit in a highly competitive market. The firm produces output using capital (which it rents at $75 per hour) and labor (which is paid a wage of $15 per hour under a contract for 20 hours of labor services). Complete the following table and use that information to answer the questions that follow.
| K | L | Q | MPK | APK | APL | VMPK |
| 0 | 20 | 0 | ||||
| 1 | 20 | 50 | ||||
| 2 | 20 | 150 | ||||
| 3 | 20 | 300 | ||||
| 4 | 20 | 400 | ||||
| 5 | 20 | 450 | ||||
| 6 | 20 | 475 | ||||
| 7 | 20 | 475 | ||||
| 8 | 20 | 450 | ||||
| 9 | 20 | 400 | ||||
| 10 | 20 | 300 | ||||
| 11 | 20 | 150 |
- Identify the fixed and variable inputs.
- What are the firm‘s fixed costs?
- What is the variable cost of producing 475 units of output?
- How many units of the variable input should be used to maximize profits?
- What are the maximum profits this firm can earn?
- Over what range of the variable input usage do increasing marginal returns exist?
- Over what range of the variable input usage do decreasing marginal returns exist?
- Over what range of input usage do negative marginal returns exist?
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