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A firm buys two inputs, labor L and capital K, the total amount of which cannot exceed 100 units.

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The Question

A firm buys two inputs, labor L and capital K, the total amount of which cannot exceed 100 units. The wage is $8, and the rental rate of capital  is $10. The firm can, at most, spend $840 on the two inputs.

This data can be summarized in the following equations:

Input limit: K + L = 100

Budget limit: 8L + 10K = 840

What are the quantities of two inputs the firm must buy in order to produce a maximum output, given input and budget constraints?

L=  

K=

 

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Sep 21, 2019

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