A factory that you are managing has an hourly production process that can be represented by the following Cobb Douglas Production function: Q=10KL. The price of one unit of capital per hour is $20 and the price of one unit of labour per hour is $20. You have been instructed to produce 100 units per hour or Q-100. Find the optimal amount of labour and capital that you will be using, and compute the total cost.

Survey Of Economics
10th Edition
ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Proudction Costs
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A factory that you are managing has an hourly production process that can be represented by the following Cobb Douglas Production function: Q=10KL. The price of one unit of capital per hour is $20 and the price of one unit of labour per hour is $20. You have been instructed to produce 100 units per hour or Q-100. Find the optimal amount of labour and capital that you will be using, and compute the total cost.

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