Derive the total differentials of given production functions

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Question: 1. A firm can buy inputs K and L at £32 per unit and £20 per unit respectively and sell its output at a fixed price of £5 per unit. How should it organize production to ensure maximum profit if it faces the production function Q = 82K0.5L0.3?

2. Derive the total differentials of the following production functions:

(a) Q = 20K0.6L0.4

(b) Q = 48K0.3L0.2R0.4

(c) Q = 6K0.8 + 5L0.7 + 0.8K2L2

Reference no: EM131482325

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