Question #81930

The production function is
Q= 20 K0.5 L0.5
For the production function Q= 20 K0.5 L0.5 determine four combinations of capital and labor that will produce 100 and 200 units of output.
Plot these points on a graph and use them to sketch the 100- and 200-unit isoquants.

Expert's answer

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Answer on Question 81930-Economics - Microeconomics

The production function is


Q=20K0.5L0.5Q = 20 \, \text{K} \, 0.5 \, \text{L} \, 0.5


For the production function Q=20K0.5L0.5Q = 20 \, \text{K} \, 0.5 \, \text{L} \, 0.5 determine four combinations of capital and labor that will produce 100 and 200 units of output.

Plot these points on a graph and use them to sketch the 100- and 200-unit isoquants.

Solution.

For 20K0.5L0.5=10020 \, \text{K}^{0.5} \, \text{L}^{0.5} = 100


For 20K0.5L0.5=20020 \, \text{K}^{0.5} \, \text{L}^{0.5} = 200


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