# 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

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View this answerA. 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...

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Chapter 11 / Lesson 27Learn about the production function. Read the production function definition in economics, learn the production function formula. Plus, see graphs and examples.

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