Question #66830

Suppose that Billy's preferences over baskets containing milk (good x), and coffee (good

y ), are described by the utility function U(x; y ) = xy +2x. Billy's corresponding marginal

utilities are, MUx = y + 2 and MUy = x:

Use Px to represent the price of milk, Py to represent the price of coffee, and I to represent

Billy's income.

Question 1: Derive Sally’s demand for coﬀee as a function of the variables Px, Py and I. (i.e. Do NOT use the numerical values for Px, Py and I, from question 1.) For the purposes of this question you should assume an interior optimum.

Question 2: Derive Sally’s demand for milk as a function of the variables Px, Py and I. (i.e. Do NOT use the numerical values for Px, Py and I, from question 1.) For the purposes of this question you should assume an interior optimum.

y ), are described by the utility function U(x; y ) = xy +2x. Billy's corresponding marginal

utilities are, MUx = y + 2 and MUy = x:

Use Px to represent the price of milk, Py to represent the price of coffee, and I to represent

Billy's income.

Question 1: Derive Sally’s demand for coﬀee as a function of the variables Px, Py and I. (i.e. Do NOT use the numerical values for Px, Py and I, from question 1.) For the purposes of this question you should assume an interior optimum.

Question 2: Derive Sally’s demand for milk as a function of the variables Px, Py and I. (i.e. Do NOT use the numerical values for Px, Py and I, from question 1.) For the purposes of this question you should assume an interior optimum.

Expert's answer

U(x; y) = xy + 2x, MUx = y + 2 and MUy = x, Px - price of milk, Py - price of coffee, I - income.

Question 1: Sally’s demand for coﬀee as a function of the variables Px, Py and I is Qy = I - a*Px - b*Py, where a, b some coefficients.

Question 2: Sally’s demand for milk as a function of the variables Px, Py and I is Qx = I - c*Px - d*Py, where c, d some coefficients..

Question 1: Sally’s demand for coﬀee as a function of the variables Px, Py and I is Qy = I - a*Px - b*Py, where a, b some coefficients.

Question 2: Sally’s demand for milk as a function of the variables Px, Py and I is Qx = I - c*Px - d*Py, where c, d some coefficients..

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