Assignment 2 Econ

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University of Nairobi *

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202

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Business

Date

Nov 24, 2024

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College of Business Assignment 2 (Fall-2023-24) Term A WARNING Possession of smart phones or other electronic devices containing course-related materials during the exam is a violation of the Academic Integrity Policy and subjects the student to dismissal from ADU . Signature of Students : ___________________________________ Student Name and ID Number Name : ID # Course Code and Title ECO 482-PC, Introduction to Economics Course Section Section 02, Term A Course Instructor Dr Ilham Haouas Date and Duration of the Exam 20/09/2023 Exam Type (open/ closed book ( Closed book M ARKING S CHEME : Question s Score CLO Questio n Scor e CLO Question CLO 3 Total Score 1 ــــــــــ ـ
Assignment 2 You are assigned to answer the following question: You have to submit your answer in a hard copy. Do not forget to mention your name and your id in your answer sheet. The due date (deadline) for the assignment is Wednesday, September 20 th 2023. In case you have any questions do not hesitate to contact me. Question 1 Suppose the price of orange increases from $0.80 to $1.00 a pound, and the quantity demanded decreases from 100 pounds to 95 pounds. a- What is the price elasticity of demand? -(2 marks) To calculate the price elasticity of demand (PED), you can use the following formula: PED % change quantity demanded % change price Here, you have the initial price (P1) as $0.80 per pound, the final price (P2) as $1.00 per pound, the initial quantity demanded (Q1) as 100 pounds, and the final quantity demanded (Q2) as 95 pounds. % change in price = P 2 P 1 P 1 100 % change in price = 1.0 0.8 0.8 100 = 25% % change in demand = Q 2 Q 1 Q 1 100 % change in demand 95 100 100 100 =− 5% PED= 5 % 25 % PED =- 0.2 b- Is the demand elastic, inelastic, or unit elastic?-(2marks) The negative sign in the PED value indicates that the demand for oranges is inelastic. In this case, a 25% increase in the price of oranges led to a 5% decrease in the quantity demanded. The absolute value of PED (0.2) is less than 1, which confirms the inelastic nature of the demand. This means that consumers are not very responsive to changes in the price of oranges, and the total revenue may increase when the price is raised. 2
c- If the price of orange were to decrease by 30 percent, what would be the percentage change in the quantity demanded? -(2 marks To find the percentage change in the quantity demanded when the price of oranges decreases by 30 percent, you can use the price elasticity of demand (PED) that we calculated earlier, which is -0.2. Now, calculate the % change in Q PED % change quantity demanded % change price -0.2= % change quantity demanded 30% % change quantity demanded =− 0.2 ∗− 30% = 6% Here's how you can calculate the percentage change in quantity demanded (% change in (Q): Given that the price is decreasing by 30 percent, the % change in price is -30 percent (negative because it's a decrease): So, if the price of oranges were to decrease by 30 percent, the quantity demanded would increase by approximately 6 percent. d- According to your estimate, what happened to the orange revenue after the price increase? Explain.-(2 marks) To determine what happened to orange revenue after the price increase, we need to consider the concept of total revenue, which is the product of the quantity sold and the price. Total Revenue (TR) = Price (P) x Quantity (Q) Initially, the price of oranges was $0.80 per pound, and the quantity demanded was 100 pounds: Initial Total Revenue (TR1) = $0.80 x 100 pounds = $80 After the price increase to $1.00 per pound, the quantity demanded decreased to 95 pounds: New Total Revenue (TR2) = $1.00 x 95 pounds = $95 Now, let's compare TR2 (after the price increase) with TR1 (before the price increase). TR2 ($95) is greater than TR1 ($80). So, according to the estimate, the orange revenue increased after the price increase. 3
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Question 2 Consider two goods: peanut butter and jelly. If the price of jelly increases from $2 a jar to $3 per jar, the quantity demanded of peanut butter decreases from 50 to 45 jars. a- What is the cross elasticity of demand between peanut butter and jelly?-(2.5 marks) To calculate the cross elasticity of demand (XED) between peanut butter and jelly, you can use the following formula: XED= % change quantity demanded of peanut butter % change the priceof jelly Here, you have the initial price of jelly (P Jelly ,1) as $2 per jar, the final price of jelly (PJelly,2) as $3 per jar, the initial quantity demanded of peanut butter (Q Peanut Butter 1) as 50 jars, and the final quantity demanded of peanut butter ( Q Peanut Butter ,2) as 45 jars. Let's calculate the percentage change in the price of jelly and the percentage change in the quantity demanded of peanut butter: Percentage Change in the Price of Jelly: % change in price of jelly= PJelly 1 ¿ PJelly 1 ¿ ¿ PJelly 2 ¿ ¿ ¿ % change in the price of jelly= 3 2 ¿ ¿ ¿ =50% Percentage Change in the Quantity Demanded of Peanut Butter: %Change in quantity demanded of peanut butter = Q peanut Butter, 2 Q PeamutButter , 1 Q Peanut Butter, 1 *100 %Change in quantity demanded of peanut butter = 45 50 50 100 =− 10% Now, plug these values into the XED formula: XED=-10%/50% =-0.20 b- Is the good a substitute good or an complement good?-(2.5 marks) 4
The negative sign in the XED value indicates that peanut butter and jelly are complementary goods. When the price of jelly increased by 50%, the quantity demanded of peanut butter decreased by 10%. This negative relationship suggests that these two goods are typically consumed together, and when the price of one increases, the demand for the other decreases. 5