The following production function and cost constraints are given find the values of L, K and 2 by using Ist order and 2nd order conditions where the firm is in equilibrium i,e maximizes oútput subject to cost constraints. Use substitution or T Lagrange method. i) Production function: Q = LK Cost function: PK = 5, PL = 2, C = 100 [ Ans. L = 25, K = 10, A = 5] %3D %3D ii) Production function: Q = LK + L K = 10 [ Ans. L = 28/3, K = 27, 2 = 14/3] %3! Pr = 6, PK = 2, C = 110 %3D 2.

Microeconomic Theory
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Chapter11: Profit Maximization
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Problem 11.9P
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The following production function and cost constraints are given find the yalues
of L, K and 2 by using Ist order and 2nd order conditions where the firm is in
equilibrium i,e maximizes oútput subject to cost constraints. Use substitution or
19 Lagrange method.
2.
i)
Production function: Q = LK
Cost function: PK = 5, PL = 2, C = 100
[ Ans. L = 25, K = 10, 1 = 5]
ii)
Production function: Q=LK +L K = 10
PL = 6, PK = 2, C = 110
[ Ans. L = 28/3, K = 27, A = 14/3]
%3D
Transcribed Image Text:The following production function and cost constraints are given find the yalues of L, K and 2 by using Ist order and 2nd order conditions where the firm is in equilibrium i,e maximizes oútput subject to cost constraints. Use substitution or 19 Lagrange method. 2. i) Production function: Q = LK Cost function: PK = 5, PL = 2, C = 100 [ Ans. L = 25, K = 10, 1 = 5] ii) Production function: Q=LK +L K = 10 PL = 6, PK = 2, C = 110 [ Ans. L = 28/3, K = 27, A = 14/3] %3D
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