Suppose that there are four consumers who value two goods: (1) monthly gym membership and (2) monthly unlimited fitness classes in the following way: Consumer Value for Gym $20 $80 $90 $120 1 2 3 4 Value for fitness classes $120 $80 $60 $30 (a) What prices maximize the revenue for gym memberships and classes when not sold as part of a bundle? (b) What is the revenue maximizing price for a bundle of both A and B? (c) Can you find a mixed bundle that increases revenue relative to the bundle in part (b)?
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- Columns 1 through 3 in the table below show the marginal utility which a particular consumer would get by purchasing various quantities of products A, B, and C. Unit of product (1) Marginal utility, A (2) Marginal utility, B (3) Marginal utility, C First 18 39 12 Second 16 36 10 Third 14 33 9 Fourth 12 30 8 Fifth 10 27 7 Sixth 8 24 5 Seventh 6 21 3 If the prices of A, B, and C are $2, $3, and $1, respectively, and the consumer has $26 to spend on these three products, what combination of the three products should be purchased in order to maximize utility?Assume a piece of jewelry and 2 consecutive drops in its price. Also consider Sara’s demand to be relative elastic in the price range from ?1 to ?2, and that she perceives jewelry as a Giffen good in the price range from ?2 to ?3. Draw her price-consumption curve with well-behaved preferences. Clearly label your graph.The demand for good X is given byQXd = 6,000 − (1/2)PX − PY + 9PZ + (1/10)MResearch shows that the prices of related goods are given by Py = $6,500 and Pz = $100, while the average income of individuals consuming this product is M = $70,000. a. How many units of good X will be purchased when Px = $5,230?b. Determine the demand function and inverse demand function for good X. Graph the demand curve for good X. Instruction: Enter all values as integers, or if needed, a decimal rounded to one decimal place. Demand function: ______ − _____ PXInverse demand function: PX = _______ − _______ QXdInstruction: Use the tool provided 'D' to graph the inverse demand curve from QX = 0 to QX = 6,000 (two points total).
- The market for lemon has 10 potential consumers ,each having an individual demand curve p=101-10Q where p is price in dollars per cup and Q is the number of cups demanded per week by the ¡th consumer.find the market demand curve using algebra . Draw an individual demand curve and the Market demand curve . What is the quantity demanded by each customer and in the market as a whole when lemon is priced at p=$1/cup?Suppose Coke and Pepsi are perfect substitutes for me, and right and left shoes are perfect complements. A. Suppose my income allocated to Coke/Pepsi consumption is $100 per month, and my income allocated to right/left shoe consumption is similarly $100 per month. a. Suppose Coke currently costs $0.50 per can and Pepsi costs $0.75 per can. Then the price of Coke goes up to $1 per can. Illustrate my original and my new optimal bundle with "Coke" on the horizontal and "Pepsi" on the vertical axis. b. Suppose right and left shoes are sold separately. If right and left shoes are originally both priced at $1, illustrate (on a graph with "right shoes" on the horizontal and "left shoes" on the vertical) my original and my new optimal bundle when the price of left shoes increases to $2. c. True or False: Perfect complements represent a unique special case of homothetic tastes in the following sense: Whether income goes up or whether the price of one of the goods falls, the optimal bundle…Donna and Jim are two consumers purchasing strawberries and chocolate. Jim’s utility function is U(x,y) = xy and Donna’s utility function is U(x,y) = x2y where x is strawberries and y is chocolate. Jim’s marginal utility functions are MUX=y and MUy=x while Donna’s are MUX=2xy and MUy=x2. Jim’s income is $100, andDonna’s income is $150. What is the optimal bundle for Jim, and for Donna, when the price of strawberries rises to $3?
- 4. Two individuals, Amir and Budi, consume two goods, clothes (X) and shoes (Y). The utility functions for the two individuals are given as: Utility function of Amir, UA = 15X0.25Y0.75Utility function of Budi, UB = 25X0.5Y0.5 The current price for clothes (Px) is Rp 100,000 and the current price for shoes (PY) is Rp 150,000 b. Amir is currently consuming 5 units of clothes (X) and 10 units of shoes (Y), whereas Budi is consuming 12 units of clothes (X) and 8 units of shoes (Y). At this current consumption, have Amir and Budi reached the efficient allocation of clothes and shoes? If they have, explain why. If they have not, calculate the optimal allocation and explain.David's utility function for good X and Y is given by U (X,Y) =X2y3. Where px,py and I are the price of good X, price of good Y and consumer income respectively. E). Suppose david faces a new utility such as U(X, Y)=25x0.2 Y0.75 for consuming commodity X and Y, redo question b and c. Derive the demand function for good X and Y What combination of X and Y maximizes the consumer at I=100,px=4,and py=5 F). Suppose david faces another new utility function such as U (X, Y) =15xy2 for consuming commodity X and Y,redo question b and c Derive the demand function for good X and Y What combination of X and Y maximizes the consumer at I=100,px=4,and py=5Q2. Lucas likes lemon soda (X) and chips (Y). His utility function is given by: U (X, Y) = X0.2Y0.8 He earns $40 per week to spend on lemon soda (X) and chips (Y). The prices of lemon soda and chips are $2 and $4 respectively. Find out Lucas’s utility-maximizing bundle of lemon soda and chips (X*, Y*). Set up the utility-maximization problem and find out the price ratio of these two goods. Find out Lucas’s marginal utility of lemon soda (MUX) and marginal utility of chips (MUY). Calculate the MRSXY . Set up the optimal tangency condition and solve for Y in terms of X. Solve for Lucas’s optimal consumption bundle of lemon soda (X*) and chips (Y*). Draw the optimal consumption bundle on the budget constraint BC1 in Q1. Denote it as Bundle A. Make sure to indicate the optimal consumption of lemon soda (X*) and chips (Y*). Draw an indifference curve that is tangent to the budget constraint at Bundle A. Calculate the value of the MRSXY (the value not the formula) at the optimal…
- How does a consumer maximizes their utility given that they experience a budget constraint? Explain with graphical illustrations. Note:- Please avoid using ChatGPT and refrain from providing handwritten solutions; otherwise, I will definitely give a downvote. Also, be mindful of plagiarism. Answer completely and accurate answer. Rest assured, you will receive an upvote if the answer is accurate.If the price of petrol increases from 70 cents to 77 cents per litre, and as a resultthe quantity demanded decreases from 1000 to 995 litres, calculate the priceelasticity of demand. 2. If the original price and quantity demand are $0.50 and 50 respectively, andthere is an increase in price to $0.55, and quantity demanded falls to 10,calculate the price elasticity of demand. 3. An individual has allocated income so as to maximise total utility and hasmarginal utility of coffee (per cup per week) that is four times that of tea (percup per week) but only a quarter of that of pepperoni pizza. If a pepperonipizza is $16, You are required to calculatea) Price of coffee per cup. b) Price of tea per cup.The table below shows total utility for two products. Suppose that the price for product A is $5 and the price for product B is $5. Number of product A Total Utility for A Number of product B Total Utility for B 0 0 0 0 1 140 1 180 2 260 2 340 3 360 3 460 4 440 4 520 5 500 5 540 Given this data, complete the table below: Quantity of A Marginal Utility for A Marginal Utility for A per dollar Quantity of B Marginal Utility for B Marginal Utility for B per dollar 0 0 1 1 2 2 3 3 4 4 5 5