Adjugate of a matrix
In linear algebra, the adjugate, classical adjoint, or adjunct _________ __________ _____ _____ _________.
__________ ______ _______ __________ __________ ____.
________ _____ ___ _______ __________ ________ ________ __________.
____ ____ __________ _____ ___ _________ __________ __________.
___ __________ __________ _______ __________ _____ ____ _____ _________ _________ _____.
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6. Find the short run average cost for the production function q = AL2/3K1/3where total cost (TC) = wL + rK, the symbols having their usual meaning.
If Z = f(x,y) = xy
Find the maximum value for f(x,y) if x & y are constrained to sum to 1 (That is x+y = 1).
Solve the problem in two ways: by substitution and by using the Lagrangian multiplier method.
Using Cramer's rule solve the following equations:
(i) x+y-2 = 0
2x-y+2 = 3
4x+2y-22 = 2
(ii) 2x+4y = 18
4x-6y=8
Determine the eigenvalues and eigenvectors of the matrix
A =
If the demand function for a good is Q=280 –10P, what is the price elasticity of demand at P = 30rupees
Consider the following Macro-Model (Multiplier –Accelerator Interaction):
Yt= Ct + It+ Gt
Ct= C0+ Yt-1
It = I0 + ( Ct–Ct-1)
Where 0 < < 1 ;
> 0 ; and Gt= G0
i) Find the time path Y(t) of national income, and
ii) Comment on the stability conditions.
A firm in a perfectly competitive market has the following cost function:C = 1/3q3–5q2+ 30q +30If the market-clearing price is 9, obtain the profit maximising level of output.