Violet buys pies (good 1) and champagne (good 2) with her income of $100. The price of champagne is p2 = $5 per bottle. Draw her budget constraints in each of the following cases assuming that both goods are divisible. Note that since pies is good 1, you should represent the quantity of pies in the horizontal axis.
(a) Pies cost $5 per pie if she buys between zero and 10 pies, and $4 per pie if she buys more than 10 pies.
(b) Pies cost $5 per pie if she buys between zero and 10 pies; if she buys more than 10 pies, each additional pie or (fraction thereof) is half-price, i.e., p1 = $2.5.
a) There are two kinks, one at 10 pies and another at 11 pies. Before this kink the budget equation is 100 = 5X
+ 5Y and after this kink, the budget line changes to 100 = 4X + 5Y
b) There is a kink at 10 pies. Before this kink the budget equation is 100 = 5X + 5Y and after this kink, the budget
line changes to (100 - 5*10) = 2.5(X - 10) + 5Y or 75 = 2.5X + 5Y
Violet buys pies (good 1) and champagne (good 2) with her income of $100. The price...
Karla treats Coke (good 1) and Pepsi (good 2) as perfect substitutes, with MRS =-1 1. Write down an utility function that will represent her preferences 2. Derive her demand functions for the following two cases (show your argument graphically): A. when price of Coke (p1) is greater than price of Pepsi (p2) B. when price of Pepsi (p2) is greater than price of Coke (p1)
Suppose consumer can purchase food (good 1) or clothing (good 2) at prices p1 = $5 and p2 = $5 per unit with her income of m = $100. The government gives her an endowment of 4 food stamps where each stamp entitles her to one unit of food. We will assume that food, clothing and food stamps are divisible. Draw his budget line.
1. Emilio buys pizza for $10 and soda for $2. He has income of $100. His budget constraint will experience a parallel outward shift if which of the following events occur? a. The price of pizza falls to $5, the price of soda falls to $1, and his income falls to $50. b. The price of pizza rises to $20, the price of soda rises to $4, and his income remains the same. c. The price of pizza falls to...
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Anna spends all her income on wine (good 1) and cheese (good 2). Her utility function is u(x1; x2) = x1x2. Her income is m = $200. The prices for the two goods are p1 = $20 and p2 = $10 respectively. Find Annaís optimal consumption bundle. Show the complete calculations, and illustrate your answer graphically (draw the indi§erence curve and the budget constraint). How would your answer change to part (a) if Annaís utility function were given by v(x1;...
1. Consider a utility-maximizing price-taking consumer in a two good world. Denote her budget constraint by p1x1 + p2x2 = w, p1,p2,w > 0,x1,x2 ≥ 0 (1) and suppose her utility function is u(x1,x2) = 2x1/2 1 + x2. (2) Since her budget set is compact and her utility function is continuous, the Extreme Value Theorem tells us there is at least one solution to this optimization problem. In fact, demand functions, xi(p1,p2,w),i = 1,2, exist for this example. (i)...
ABC and CVP Analysis: Multiple Products Good Scent, Inc., produces two colognes: Rose and Violet. Of the two, Rose is more popular. Data concerning the two products follow: Rose Violet Expected sales (in cases) 49,500 9,900 Selling price per case $99 $80 Direct labor hours 33,700 6,000 Machine hours 9,050 3,500 Receiving orders 50 24 Packing orders 103 51 Material cost per case $51 $41 Direct labor cost per case $10 $5 The company uses a conventional costing system and...
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