a) Maximize the utility function U = X0°Y°25 subject to budget constraint 680 = 8X + 5Y Also show that above utility function is homogenous and homothetic.

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Chapter1: Making Economics Decisions
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c) If the value of timber is the following increasing function of time:
V = 2t
Expressed in units of Rs. 1000. Assuming a discount rate of r and also assuming zero
upkeep cost during the period of timber growth, what is the optimal time to cut the timber
for sale? Calculate optimal time for r = 5%
Question 03.
a) Maximize the utility function U = X0Y025 subject to budget constraint
680 = 8X + 5Y Also show that above utility function is homogenous and homothetic.
5P+ P?
and
b) Find the demand function Q =f (P) if elasticity of demand is -
Q = 500 when P = 10
c) Write down the first order and second order conditions for maximum and
function y = f(x1, X2, X3,.......... Xn).
minimum of a
Transcribed Image Text:c) If the value of timber is the following increasing function of time: V = 2t Expressed in units of Rs. 1000. Assuming a discount rate of r and also assuming zero upkeep cost during the period of timber growth, what is the optimal time to cut the timber for sale? Calculate optimal time for r = 5% Question 03. a) Maximize the utility function U = X0Y025 subject to budget constraint 680 = 8X + 5Y Also show that above utility function is homogenous and homothetic. 5P+ P? and b) Find the demand function Q =f (P) if elasticity of demand is - Q = 500 when P = 10 c) Write down the first order and second order conditions for maximum and function y = f(x1, X2, X3,.......... Xn). minimum of a
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