If Vasily always reads 2 news articles (a) while he is having breakfast (b) (sees as complements), pa - price of an article, pb - price of the breakfast, I -income, then his indirect utility function will be given by:
(a) V(pa,pb,I)= I/(2pa+pb) (b) V(pa,pb,I)= 2I/(2pa+pb) (c) V(pa,pb,I) = I/(pa+2pb) (d)V(pa,pb,I) = 2I/(pa+2pb)
If Vasily always reads 2 news articles (a) while he is having breakfast (b) (sees as...
please answer both(b)and(d)
thank you
3. Nick enjoys having soda (a) with his cheese pizza (c): his preferences are represented by the utility function u(a,c) = min(a, 2e) (a) Suppose Nick has 10 slices of cheese pizza (e), how many sodas must he consume in order to have a utility of 40? (2 points) U=40. (=10. - 4020 & 40=22 (b) Setup Nick's utility maximization problem. Solve for his optimal levels of pizza and soda as functions of prices a"...
Question 5: Denny views Scotch (S) and Cigars (C) as perfect complements. He always consumes them in equal proportions. One without the other gives him no utility. As such, his utility function is given by U=min[S,C]. His income is 100 and prices are pC=pS=5. (a) What is Denny’s optimal consumption bundle? How much utility does he obtain from it? (b) Would Denny prefer all prices fall to 1 or that his income be increased to 500? Explain. Suppose Denny’s income...
6. Perfect Complements Oliver is very specific about his business attire. He always buys three white shirts (xv) for every pair of trousers (xt). Oliver's total budget for clothing is $200. The price of each white shirt (pw) is $5 and the price of each pair of trousers (pt) is $25. (20 points) a. Given Oliver's preferences, what is his corresponding utility function? b. What is Oliver's budget constraint? c. What is Oliver's optimum consumption bundle? d. Draw the indifference...
4. Mehmet drinks only pure spring water, but he can purchase it in two different-sized containers: 0.5 liter and 2 liter. The water is identical in both containers. Assume that Mehmet's utility depends only on the quantity of water consumed. That is, the containers themselves yield no utility. (a) Write down Mehmet's utility function in terms of quantities of 0.5 liter containers (x) and 2 liter containers (y). (b) Write Mehmet's demand function for x in terms of price of...
1) Jamie received a new record player 100y1/ where y is the number of records he owns and r his leftover money. Jamie bought 100 records to maximize his utility, without having to spend all his income What is the per-unit price of records? birthday gift. His utility function is u(r,y) as a C $5 (+ a. b. $10 $15 C. d. $25 none of the above e.
1) Jamie received a new record player 100y1/ where y is the...
Mr. A derives utility from martinis (m) in proportion to the number he drinks Mr.A is particular about his martinis, however: He only enjoys them made in the exact proportion of two parts gin (g) to one part vermouth (v). Hence, we can rewrite Mr.A's utility function as: The following graph measures gin (g) along the horizontal axis and vermouth (v) along the vertical axis. On the following graph, use the purple points (diamon symbols) to plot Mr.A's indifference curve...
A consumer uses his income I for the consumption of two goods ?1 and ?2. He maximises utility at given product prices ?1, ?2. His preferences with respect to both products can be described by an ordinal utility function ?(?1,?2), which exhibits a decreasing marginal rate of substitution (normal preferences). Please indicate whether the following statements are right or wrong in this context. If a statement is wrong, then describe briefly what is wrong (one sentence). a) A double value...
Each day Paul, who is in third grade, eats lunch at school. He likes only Twinkies (t) and soda (s), and these provide him a utility of: utility = U(t,s) = Suppose the price of twinkies is P each and the price of soda is Ps per cup. Also suppose Paul has I, given to him by his mother, to spend on lunch at school For this general case, which of the following are first order conditions for a utility...
1. Charlie’s utility function for weekly consumption of bananas (B) and Apples (A) is given by U = BA . a. Suppose Charlie consumes 20 bananas and 10 apples in a week. Sketch his indifference curve through that bundle on a diagram. (While it doesn’t really matter which good is on the horizontal axis, for consistency with our classwork, assume bananas are on the horizontal axis.) b. Use calculus (partial derivatives) to derive formulas for the marginal utilities (MU) of...
5. A peasant has utility U(B,C) 4VB C over bread B and flourless cake C, with marginal utilities MUB -2/VB 5.d U (95),Wtnette isend,ipy oLi1s and MUc-1. Prices are pB-2 and pc-3, and his income is 1 = 33, First, double-check that he initially consumes (B, C) (9,5), with utility U 17, and illustrate on a budget/indifference curve diagram. Next, benevolent monarch Marie Antoinette learns that carbs are evil. She wants to discourage bread consumption without making the peasant worse-off....