(a) A company has $300,000 to spend on two products. Suppose that the Utility derived by the company from x units of the first product and y units of the second product is given by U(x.y) - 3000xy33 (1) Show that U is homogenous to some degree. (ii) Show that Euler's Theorem holds for the function U(x.y).

Linear Algebra: A Modern Introduction
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Chapter4: Eigenvalues And Eigenvectors
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(a) A company has $300,000 to spend on two products. Suppose that the Utility derived
by the company from x units of the first product and y units of the second product is
given by
U(x.y) - 3000xy35
(1)
Show that U is homogenous to some degree.
(i) Show that Euler's Theorem holds for the function U(x.y).
Transcribed Image Text:(a) A company has $300,000 to spend on two products. Suppose that the Utility derived by the company from x units of the first product and y units of the second product is given by U(x.y) - 3000xy35 (1) Show that U is homogenous to some degree. (i) Show that Euler's Theorem holds for the function U(x.y).
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