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).
4.) Using the information from question 3, find Lyndsay’s optimal consumption of good 2
5.) Anya has utility given by u(x2,x1)=18x1+9x2. If P1=$5, P2=$2, and I=$20, find Anya’s optimal consumption of
good 1. (Hint: this is linear utility).
6.) Using the information from question 5, find Anya’s optimal consumption of good 2
1.) Liz has utility given by u(x2,x1)=x1^7x2^8. If P1=$10, P2=$20, and I = $150, find Liz’s...
Lyndsay has utility given by u(2) -min IP, P2 -S1, and l $10, find Lyndsay's optimal consumption of good1. (Hint: this is Leontief utility) x1 X2 3 7 Using the information from question 3, find Lyndsay's optimal of good 2.
5. Anya has utility given by u(x1,x2) Anya's optimal consumption of good 1. (Hint: this is linear utility) 18х, + 9х2. If Р, 3D $5, Р2 3D $2, аnd I $20, find -- - Using the information from question 5, find Anya's optimal consumption of good 2 6. 5. Anya has utility given by u(x1,x2) Anya's optimal consumption of good 1. (Hint: this is linear utility) 18х, + 9х2. If Р, 3D $5, Р2 3D $2, аnd I $20, find...
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...
(10 points) Wendy's utility over consumption bundles (x1, x2) is given by u(x1,x2) = VX1 + 21X2. If the price of good 1 is $2/unit, the price of good 2 is $1/unit and income is $120, what is Wendy's optimal consumption of Good 2? (You can use the 5 step method to solve this problem). (10 points) When u(x1, x2) = min ), at prices and income P1, P2, and I, demand for good 1 is given by xi (P1,...
Christine has utility given by u(x1, x2) = 1X1 + 4/X2. If P, = $10, P, = $20, and 1 = $180, find Christine's optimal consumption of good 1. (Hint: You'll need to use the 5 step method to answer this question). Using the information from question 7, find Christine's optimal consumption of good 2
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 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...
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?
Christine has utility given by u(x,2)- 2+4Vxz. If P $20, P2 $10, and 1- $180, find Christine's optimal consumption of good 1. (Hint: You'll need to use the 5 step method to answer this question Using the information from question 7, find Christine's optimal consumption of good 2
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...