[4 1 21 tA-3 4 2. B-1 -2 3, and C-5 0 2 Lo 3 2] [-1 0 5 [1 2 -3] [1 4 -3) 1 -1 1 [s 20 Find the matrix D, such that DA

Linear Algebra: A Modern Introduction
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Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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-1 0 51
tA=3 4 2 B =1
4 -3
[1 2 -31
[4 1
1 -2 3, andC=5 0 2
L0 3 2]
2
-1 1
[8 20
Find the matrix D, such that DA =
2 4
Suppose the profit function for Al Bakery is given by
P(x) = -0.4x? + 100x – 100,
where x is the number of bread made (in thousands) and P(x) is the profit
in cedis.
Find the output at which profit is maximised.
Find the maxima and minima of the total cost function:
TC = 203 – 33Q2 + 124Q + 186
Also determine the marginal costs at these points of maxima and minima.
Transcribed Image Text:-1 0 51 tA=3 4 2 B =1 4 -3 [1 2 -31 [4 1 1 -2 3, andC=5 0 2 L0 3 2] 2 -1 1 [8 20 Find the matrix D, such that DA = 2 4 Suppose the profit function for Al Bakery is given by P(x) = -0.4x? + 100x – 100, where x is the number of bread made (in thousands) and P(x) is the profit in cedis. Find the output at which profit is maximised. Find the maxima and minima of the total cost function: TC = 203 – 33Q2 + 124Q + 186 Also determine the marginal costs at these points of maxima and minima.
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