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(a) Derive the Marshalian demand functions for the following utility function:
u(x1,x2,x3) = x1 + δ ln(x2) x1 ≥ 0, x2 ≥ 0
Does one need to consider the issue of "corner solutions" here?
(b) Derive the Hicksian demand functions and the expenditure function for the following utility function:
u(x1,x2,x3) =min {√x1, 2√x2, 4√x3} x1 ≥ 0, x2 ≥ 0, x3 ≥ 0
Using the expenditure function and the Hicksian demand functions that you obtained, derive the indirect utility function and the Marshalian demand function for good 1.
Given f (x) =10x^3 - x^5 , find all intervals(in Interval Notation) of Concavity and the x-values of all Inflection Points.
3 2/3 - 1/6
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In the adjoining figure, ABCD is a square of side 6cm. Find the area of the shaded region. Ans: From P draw PQ ⊥ AB AQ = QB = 3cm (Ans: 34.428 sq cm) Join PB
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The HCF & LCM of two expressions are respectively (x+3) and (x cube-7x+6). If one is x square+2x-3 , other is? Solution) (x+3) * (x^3-7x+6) = (x^2+2x-3) * y ( ) (HCF*LCM=
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