Suppose that the production function is given by Q = 25L^ 0.5 K6 0.5 . The amount
Fantastic news! We've Found the answer you've been seeking!
Question:
Suppose that the production function is given by Q = 25L^ 0.5 K6 0.5 . The amount of funds available to purchase the two inputs is R1500, the price of output (Py) is R4 and L and K both sell for R3.
(a) Set up a lagrangian optimization problem and derive the first-order conditions.
(b) How much L and K should the farmer produce to maximize profit?
(c) Find the value of lambda and interpret the results.
(d) Prove that the total revenue is being maximized, that is, show that the determinant is positive.
Related Book For
Macroeconomics
ISBN: 9780132109994
1st Edition
Authors: Glenn Hubbard, Anthony Patrick O'Brien, Matthew P Rafferty
Posted Date: