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This is an unformal question.

suppose that I have an undefined function $U()$ such that if $y\geq x$ then $U(y) \geq U(x)$.

I know that $U(16) = .2U(10)+.8U(20)$ .

I have to evaluate formaly $EU_1=0.1U(10) + 0.4U(16) + 0.5*U(20) $ where $EU_1$ is the expected utility of the lotery $l = [(10,0.1),(16,0.4),(20,0.5)]$. So first I want to substitute $U(16)$ in $EU_1$. On my sheet of paper this seems simple, but I do not know if I am able to write all this (with the substitution) in Sage ? Could some one help me.

This is an unformal question.

suppose that I have an undefined function $U()$ such that if $y\geq x$ then $U(y) \geq U(x)$.

I know that $U(16) = .2U(10)+.8U(20)$ .

I have to evaluate formaly $EU_1=0.1U(10) + 0.4U(16) + 0.5*U(20) $ where $EU_1$ is the expected utility of the lotery $l = [(10,0.1),(16,0.4),(20,0.5)]$. So first I want to substitute $U(16)$ in $EU_1$. On my sheet of paper this seems simple, but I do not know if I am able to write all this (with the substitution) in Sage ? Could some one help me. me.

This is an unformal question.

suppose that I have an undefined function $U()$ such that if $y\geq x$ then $U(y) \geq U(x)$.

I know that $U(16) = .2U(10)+.8U(20)$ .

I have to evaluate formaly $EU_1=0.1U(10) + 0.4U(16) + 0.5*U(20) $ 0.5*U(20)$ where $EU_1$ is the expected utility of the lotery $l = [(10,0.1),(16,0.4),(20,0.5)]$. So first I want to substitute $U(16)$ in $EU_1$. On my sheet of paper this seems simple, but I do not know if I am able to write all this (with the substitution) in Sage ? Could some one help me.

This is an unformal question.

suppose that I have an undefined function $U()$ such that if $y\geq x$ then $U(y) \geq U(x)$.

I know that $U(16) = .2U(10)+.8U(20)$ .

I have to evaluate formaly $EU_1=0.1U(10) + 0.4U(16) + 0.5*U(20)$ where $EU_1$ is the expected utility of the lotery $l = [(10,0.1),(16,0.4),(20,0.5)]$. So first I want to substitute $U(16)$ in $EU_1$. On my sheet of paper this seems simple, but I do not know if I am able to write all this (with the substitution) in Sage ? Could some one help me.

This is an unformal question.

suppose that I have an undefined function $U()$ such that if $y\geq x$ then $U(y) \geq U(x)$.

I know that $U(16) = .2U(10)+.8U(20)$ .

I have to evaluate formaly

$EU_1=0.1U(10) + 0.4U(16) + 0.5*U(20)$

where $EU_1$ is the expected utility of the lotery $l = [(10,0.1),(16,0.4),(20,0.5)]$. So first I want to substitute $U(16)$ in $EU_1$. On my sheet of paper this seems simple, but I do not know if I am able to write all this (with the substitution) in Sage ? Could some one help me.

This is an unformal question.

suppose that I have an undefined function $U()$ such that if $y\geq x$ then $U(y) \geq U(x)$.

I know that $U(16) = .2U(10)+.8U(20)$ .

I have to evaluate formaly

$EU_1=0.1U(10) + 0.4U(16) + 0.5*U(20)$

where $EU_1$ is the expected utility of the lotery $l = [(10,0.1),(16,0.4),(20,0.5)]$. So first I want to substitute $U(16)$ in $EU_1$. On my sheet of paper this seems simple, but I do not know if I am able to write all this (with the substitution) in Sage ? Could some one help me.

This is an unformal question.

suppose that I have an undefined function $U()$ such that if $y\geq x$ then $U(y) \geq U(x)$.

I know that $U(16) = .2U(10)+.8.2 U(10)+.8 U(20)$ .

I have to evaluate formaly

$EU_1=0.1U(10) + 0.4U(16) + 0.5*U(20)$

where $EU_1$ is the expected utility of the lotery $l = [(10,0.1),(16,0.4),(20,0.5)]$. So first I want to substitute $U(16)$ in $EU_1$. On my sheet of paper this seems simple, but I do not know if I am able to write all this (with the substitution) in Sage ? Could some one help me.

This is an unformal question.

suppose that I have an undefined function $U()$ such that if $y\geq x$ then $U(y) \geq U(x)$.

I know that $U(16) = .2 U(10)+.8 U(20)$ .

I have to evaluate formaly

$EU_1=0.1$EU_1=0.1 U(10) + 0.4U(16) 0.4U(16) + 0.5*U(20)$ 0.5U(20)$

where $EU_1$ is the expected utility of the lotery $l = [(10,0.1),(16,0.4),(20,0.5)]$. So first I want to substitute $U(16)$ in $EU_1$. On my sheet of paper this seems simple, but I do not know if I am able to write all this (with the substitution) in Sage ? Could some one help me.