Principles of Economics
7th Edition
ISBN: 9781305156043
Author: N. Gregory Mankiw
Publisher: Cengage Learning US
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Chapter 22, Problem 4QCMC
To determine
Condorcet paradox and Arrow's impossibility theorem.
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subject to X1
X2
Maximize dollars of interest earned = 0.07X1+0.11X2+0.19X3+0.15X4
≤ 1,000,000
<2,500,000
X3
≤ 1,500,000
X4
≤ 1,800,000
X3 +
XA
≥
0.55 (X1+X2+X3+X4)
X1
≥
0.15 (X1+X2+X3+X4)
X1
+ X2 X3 +
XA
<
5,000,000
X1, X2, X3, X4 ≥
0
not use ai
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- not use ai please don't kdjdkdkfjnxncjcarrow_forwardAsk one question at a time. Keep questions specific and include all details. Need more help? Subject matter experts with PhDs and Masters are standing by 24/7 to answer your question.**arrow_forward1b. (5 pts) Under the 1990 Farm Bill and given the initial situation of a target price and marketing loan, indicate where the market price (MP), quantity supplied (QS) and demanded (QD), government stocks (GS), and Deficiency Payments (DP) and Marketing Loan Gains (MLG), if any, would be on the graph below. If applicable, indicate the price floor (PF) on the graph. TP $ NLR So Do Q/yrarrow_forward
- Now, let us assume that Brie has altruistic preferences. Her utility function is now given by: 1 UB (xA, YA, TB,YB) = (1/2) (2x+2y) + (2x+2y) What would her utility be at the endowment now? (Round off your answer to the nearest whole number.) 110arrow_forwardProblema 4 (20 puntos): Supongamos que tenemos un ingreso de $120 y enfrentamos los precios P₁ =6 y P₂ =4. Nuestra función de utilidad es: U(x1, x2) = x0.4x0.6 a) Planteen el problema de optimización y obtengan las condiciones de primer orden. b) Encuentren el consumo óptimo de x1 y x2. c) ¿Cómo cambiará nuestra elección óptima si el ingreso aumenta a $180?arrow_forwardPlease draw the graph for number 4 and 5, I appreciate it!!arrow_forward
- not use ai pleasearrow_forwardnot use ai pleasearrow_forward• Prismatic Cards: A prismatic card will be a card that counts as having every suit. We will denote, e.g., a prismatic Queen card by Q*. With this notation, 2.3045 Q would be a double flush since every card is a diamond and a heart. • Wild Cards: A wild card counts as having every suit and every denomination. Denote wild cards with a W; if there are multiple, we will denote them W₁, W2, etc. With this notation, W2 20.30054 would be both a three-of-a-kind (three 2's) and a flush (5 diamonds). If we add multiple wild cards to the deck, they count as distinct cards, so that (e.g.) the following two hands count as "different hands" when counting: W15 5Q and W255◊♡♡♣♣ In addition, 1. Let's start with the unmodified double-suited deck. (a) Call a hand a flush house if it is a flush and a full house, i.e. if all cards share a suit and there are 3 cards of one denomination and two of another. For example, 550. house. How many different flush house hands are there? 2. Suppose we add one wild…arrow_forward
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