The following table summarizes the short-run production function for your firm. Your product sells for $10 per unit, labor costs $40per unit, and the rental price of capital is $10 per unit. Complete the following table, and then answer the accompanying questions.
L K Q MPL APL APK VMPL
0 5 0
1 5 20
2 5 60
3 5 120
4 5 160
5 5 180
6 5 190
7 5 190
8 5 180
9 5 160
10 5 120
11 5 60
(a) Which inputs are fixed inputs? Which are the variable inputs?
(b) How much are your fixed costs?
(c) What is the variable cost of producing 40 units of output?
(d) How many units of the variable input should be used to maximize profits?
(e) What are your maximum profits?
(f) Over what range of variable input usage does increase marginal returns exist?
(g) Over what range of variable input usage do decrease marginal returns exist?
(h) Over what range of variable input usage do negative marginal returns exist?
The following table summarizes the short-run production function for your firm. Your product sells for $10 per unit, labor costs $40per unit, and the rental price of capital is $10 per unit. Complete the following table, and then answer the accompanying questions.
L K Q MPL APL APK VMPL
0 5 0
1 5 20
2 5 60
3 5 120
4 5 160
5 5 180
6 5 190
7 5 190
8 5 180
9 5 160
10 5 120
11 5 60
(a) Which inputs are fixed inputs? Which are the variable inputs?
(b) How much are your fixed costs?
(c) What is the variable cost of producing 40 units of output?
(d) How many units of the variable input should be used to maximize profits?
(e) What are your maximum profits?
(f) Over what range of variable input usage does increase marginal returns exist?
(g) Over what range of variable input usage do decrease marginal returns exist?
(h) Over what range of variable input usage do negative marginal returns exist?
Related textbook solutions
Related questions
The following table summarizes the short-run production function for your firm. Your product sells for $8 per unit, labor costs $12 per unit, and the rental price of capital is $20 per unit. Complete the following table and then answer the accompanying questions.
1. Which inputs are fixed inputs? Which are variable inputs?
2. What is the variable cost of producing 60 units of output?
3. How many units of the variable input should be used to maximize profits? Why?
4. What are your maximum profits?
5. Over what range of variable input usage does increase marginal returns exist?
6. Over what range of variable input usage do decrease marginal returns exist?
|
Output |
Units of Capital |
Units of Labor |
Marginal Product of Labor |
MRP of Labor |
|
0 |
6 |
0 |
-- |
Ā |
|
10 |
6 |
1 |
Ā | Ā |
|
30 |
6 |
2 |
Ā | Ā |
|
60 |
6 |
3 |
Ā | Ā |
|
80 |
6 |
4 |
Ā | Ā |
|
90 |
6 |
5 |
Ā | Ā |
|
95 |
6 |
6 |
Ā | Ā |
|
95 |
6 |
7 |
Ā | Ā |
|
90 |
6 |
8 |
Ā | Ā |
|
80 |
6 |
9 |
Ā | Ā |
|
60 |
6 |
10 |
Ā | Ā |
|
30 |
6 |
11 |
Ā | Ā |
Ā
The following table summarizes the short-run production function for your firm. Your product sells for $8 per unit, labor costs $12 per unit, and the rental price of capital is $20 per unit. Complete the following table and then answer the accompanying questions.
(a) Which inputs are fixed inputs? Which are variable inputs?
(b) How much are your fixed costs?
(c) What is the variable cost of producing 60 units of output?
(d) How many units of the variable input should be used to maximize profits? Why?
(e) What are your maximum profits?
(f) Over what range of variable input usage does increase marginal returns exist?
(g) Over what range of variable input usage does decrease marginal returns exist?
|
Output |
Units of Capital |
Units of Labor |
Marginal Product of Labor |
MRP of Labor |
|
0 |
6 |
0 |
-- |
Ā |
|
10 |
6 |
1 |
Ā | Ā |
|
30 |
6 |
2 |
Ā | Ā |
|
60 |
6 |
3 |
Ā | Ā |
|
80 |
6 |
4 |
Ā | Ā |
|
90 |
6 |
5 |
Ā | Ā |
|
95 |
6 |
6 |
Ā | Ā |
|
95 |
6 |
7 |
Ā | Ā |
|
90 |
6 |
8 |
Ā | Ā |
|
80 |
6 |
9 |
Ā | Ā |
|
60 |
6 |
10 |
Ā | Ā |
|
30 |
6 |
11 |
Ā | Ā |
