Copyright

A. Suppose that a firm's production function is Q = 2L^0.5K^0.5, Derive the isoquant associated...

Question:

A. Suppose that a firm's production function is {eq}Q = 2L^{0.5}K^{0.5}{/eq}, Derive the isoquant associated with Q = 12 units of output.

B. If L = 1, what must K be in order to produce Q = 12 units of output?

C. If L = 2, what must K be in order to produce Q = 12 units of output?

D. If L = 3, what must K be in order to produce Q = 12 units of output?

E. If L = 4, what must K be in order to produce Q = 12 units of output?

Isoquant:

In economics, the way outputs are produced using input are represented by a production function. Graphically, a production could be illustrated using isoquants, which traces all combinations of inputs that yield the same quantity of output.

Answer and Explanation: 1

Become a Study.com member to unlock this answer!

View this answer

A. Putting the output level Q = 12 into the production yields the isoquant:

  • {eq}2L^{0.5}K^{0.5} = 12{/eq}
  • {eq}L^{0.5}K^{0.5} = 6{/eq}

B. If L = 1, to...

See full answer below.


Learn more about this topic:

Loading...
Production Function in Economics: Definition, Formula & Example

from

Chapter 11 / Lesson 27
59K

Learn about the production function. Read the production function definition in economics, learn the production function formula. Plus, see graphs and examples.


Related to this Question

Explore our homework questions and answers library