Bernice has an income of 13. His utility function is given by u(x1, x2) = min(x1, x2). Let x1 be her consumption of sweat tea (in fluid ounces), and x2 is her money left for other stuff. Initially, the price of sweat tea is $2. Find her optimal choice of sweat tea and money. Then the price of sweat tea increases to $3. Find her new optimal choice. After you've done that, find the equivalent variation of the price change (i.e., the maximum amount she'd paid to avoid the new higher price). Again, it will help if you lay this out graphically.
please explain step by step and show the graph
Bernice has an income of 13. His utility function is given by u(x1, x2) = min(x1,...
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).
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)....
Yam has the following utility function for Apples (X1) and Ice Cream (X2) U(X1,X2) = Min{3X1,X2}. Draw Yam’s indifference curves when she consumes 1 and 2 apples. Derive Yam’s demand functions for Apples and Ice Cream. Suppose Yam has an income of M = $120 and the prices of Apples and Ice Cream are p1 =$1, p2 =$1. What is Yam’s optimal consumption of Apples and Ice Cream? Suppose a quantity tax of $1 is imposed on Apples. Separate out the...
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
The consumer has the utility function U(x1 , x2) = (x1-2)4 (x2-3)3, subject to her budget constraint 10 = 4x1 + 3x2. Write the utility maximization of this consumer using the Lagrangian method and find the optimal value of x1 and x2.
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...
My utility is given by u(x1, X2)-240.4X21.2 + 1n(%) + [min{x, xjf + 2x2 + x11.1 True, False, or Cannot Be Determined: When P1 $2,P2-$4, and I-$100, my optimal consumption bundle is (xi,xż) (25, 15)
(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,...
Suppose that a consumer has a utility function given by u(x1, x2) = 2x1 + x2. Initially the consumer faces prices (2, 2) and has income 24. i. Graph the budget constraint and indifference curves. Find the initial optimal bundle. ii. If the prices change to (6, 2), find the new optimal bundle. Show this in your graph in (i). iii. How much of the change in demand for x1 is due to the substitution effect? How much due to...