Jack’s utility is given by u(x1, x2) = x13x22. If I = $200, P1 = $20 and P2 = $4, how many units of x1 will Jack consume to maximize his utility?
Jack’s utility is given by u(x1, x2) = x13x22. If I = $200, P1 = $20...
1. (20 points) Mac has utility over x; and x2 given by u(x1, x2) = min . If P. = $1. P. = $1. and I = $100. find the value of xı* (Hint: This is Leontief utility, the kind with right-angled indifference curves) 2. (10 points) If P, = $4, P2 = $2, and I = $20, and my utility is given by u(x1, x2) = 4x1 + 3x2, find x* (Note: I'm asking for optimal consumption of Good...
1.) Liz has utility given by u(x2,x1)=x1^7x2^8. If P1=$10, P2=$20, and I = $150, find Liz’s optimal consumption of good 1. (Hint: you can use the 5 step method or one of the demand functions derived in class to find the answer). 2.) Using the information from question 1, find Liz’s optimal consumption of good 2 3.) Lyndsay has utility given by u(x2,x1)=min{x1/3,x2/7}. If P1=$1, P2=$1, and I=$10, find Lyndsay’s optimal consumption of good 1. (Hint: this is Leontief utility)....
My utility is given by u(x1, x2) = 2x194x2-2 + In(x1) + [min{x1, x2)] + 2x2 + x1!! True, False, or Cannot Be Determined: When P1 = $2,P2 = $4, and I = $100, my optimal consumption bundle is (x1,x2) = (25,15).
The utility function and the prices are the following: U = 40 x1 + 20 x2 P1=4, P2=3 and I =1,200 What is the level of maximized utility?
The individual has a utility function of u(x1, x2) = min (4x1, 5x2) and faces prices p1=2 and p2=1. We know they consume 20 units of x2 and spend all their income. What is the demand function for x1?
Solve for the optimal x1^*(p1, p2, m) and x2^*(p2, p1, m) for a utility function, U(x1, x2) = x1x2 - x1 - x2. Could you please take a picture of your work on a piece of paper? Thanks.
The utility function of the consumer is u(x1, x2) = VX1 + X2. a) Let P1 = 2,P2 = 20 and m = 24. Calculate the optimal quantity demanded of good 1 and 2. (7 points) b) Let p. = 1,P2 = 4 and m = 100. Calculate the optimal quantity demanded of good 1 and 2. (6 points) c) Let P1 = 1,P2 = 4 and m = 4. Compared to point b), by how much would the consumer...
Jerami's utility function is given by U(x1,x2) = 2x1 +2X2. What is his demand for each good if P1 = 4,P2 =6, and m=60? x1 = 6; x2 = 6 x1 =0:x2 - 10 x1 = 15; x2 = 0 O x1 = 60; x2 = 0
Question 1 (20 points). The utility function of the consumer is u(x1, x2) = x1 + x2. a) Let pı = 2 ,P2 = 20 and m = 24. Calculate the optimal quantity demanded of good 1 and 2. (7 points) b) Let p1 = 1,P2 = 4 and m = 100. Calculate the optimal quantity demanded of good 1 and 2. (6 points) c) Let P1 = 1, p2 = 4 and m = 4. Compared to point b),...
The utility function is u = x1½ + x2, and the budget constraint is m = p1x1 + p2x2. Derive the optimal demand curve for good 1, x1(p1, p2), and good 2, x2(m, p1, p2). Looking at the cross price effects (∂x1/∂p2 and ∂x2/∂p1) are goods x1 and x2 substitutes or complements? Looking at income effects (∂x1/∂m and ∂x2/∂m) are goods x1 and x2 inferior, normal or neither? Assume m=100, p1=0.5 and p2=1. Using the demand function you derived in...