Q1. Suppose that the residents of Vegopia spend all of their income on long beans, bean sprouts, and carrots. In 2006, they buy 100 strands of long beans for RM200.00, 50 kilos of beans sprouts for RM75.00, and 500 carrots for RM50.00. In 2007, they buy 75 strands of long beans for RM225.00, 80 kilos of beans sprouts for RM120.00, and 500 carrots for RM100.00. a. Calculate the price of each vegetable in each year. b. Using 2006 as the base year, calculate the CPI for each year. c. What is the inflation rate in 2007?
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- 3. As the owner of an ice-cream store, you believe it is necessary to purchase another ice-cream maker to meet the increased demand. You need to take a loan to finance it. The loan officer tells you that your revenues of $750,000 are insufficient to support additional debt. To qualify for the loan, your revenues need to be $50,000 higher. To generate additional revenue, you collect data on the price (in cents) per pound you charge customers and the related quantity of ice-cream consumed per year in pounds. The information is saved in HW3_2.xlsx. Use these data to estimate the log-linear demand specification to obtain least squares estimated of the demand for ice-cream. Write an equation that summarizes the demand for ice cream, and then determine the percentage price increase or decrease that is needed in order to boost revenues by $50,000.Charlie eats only pizzas and fruit salads which are discrete goods. Each pizza has 1000kcal, and each fruit salads has 250kcal. The price of one fruit salad is £3, and the price of a pizza is £8. Charlie spends his entire budget on consumption and eats everything that he buys. He consumes no less than 1600 kcal per week and no more than 2500 kcal per week. Which of the following is true? a. His income must be between £16 and £30. b. He always spends at least half of his income on pizzas. c. He eats at least one pizza per week. d. He eats at least 2 fruit salads per week.3. Based on each scenario in this question, indicate whether the following statements is true or false, and briefly explain your reasoning. You may also want to use a graph in your explanation if you think it's necessary. a) Mike makes $500 per week and spends all her income on books and tea. Books cost $25 each, and Mike buys 16 each week. Tea costs $5 per cup, and Mike buys 20 cups. When Mike's income falls to $450 per week, he cuts his consumption of books by 3 books and purchases 5 more cups of tea. Based on Mike's consumption behaviors, books are an inferior good and Tea is a normal good. b) Lucy consumes food and clothing. For incomes near her current income, her income expansion path is negatively sloped. Assume that food is measured along the horizontal axis and clothing is measured along the vertical axis. Therefore, at current income levels, both food and clothing must be inferior good. c) For any normal goods, the income and substitution effects work in the same direction.…
- The nearby graph shows Claudia's budget constraint for purchases of shoes and purses. Claudia's monthly budget for shoes and purses is $100. Claudia's parents have told her that she has too many shoes and is not allowed to buy more than 1 pair a month. If she buys 1 pair of shoes and 1 purse, she will have $______left each month. Number of 4.5 purses 4.0 3.5 3.0 2.5 2.Q 1.5 1.0 0.5 $50 $10 O $75 $25 0 0.2 0.4 0.6 1.0 1.2 Number of pairs of shoes 0.88. Mr. Jones sells scrapbooking materials. He charges $20 per album and sells 120 albums month at this price. He plans to decrease the price to generate more sales. A survey indicated that for every $0.50 decrease in price, he can expect to sell 5 more album s. a) Write the expressions for the price of an album and the number of albums sold in one month and write an equation for the revenue using your expressions from the first portion of part a. b) What price will generate the maximum revenue? c) What is the maxim um revenue he can generate in one month?Alisha has a monthly entertainment budget of rupees 1000 which she divides between going to a movie theatre or attending a music concert. The price of a movie ticket is rupees 100 and that of a concert is rupees 200. At this budget she watches 6 movies and attends 2 concert a month. Suppose now that she decides to increase her entertainment budget to rupees 1600. At the new budget she watches 4 movies and attends 6 concerts. a) Draw Income consumption curve taking movies on X axis and concerts on the Y axis . b) What is the nature of the two goods. Explain.
- 4. Peter's utility function is equal to: U (L, C) = LVC where L is hours of leisure time per day and C is daily consumption, denoted in €. When he is looking for a job as a consultant he finds the following possibilities: i) Working for "ABC of M", where he may get 100€ per day and 2h of leisure time per day ii) Working for "101 of M", where he may get 25€ per day and 4h of leisure per day iii) Working for "M for Dummies", where he may get 50€ per day and 3h of leisure per day Each day, apart from sleeping and other basic necessities, Peter has 15 hours of available time. He may tutor during as many hours as he desires, receiving 20€ per each hour of work. Assume Peter cannot save and consumes all he receives. a. How many hours does Peter decide to rest? 9h 10h 11h 15h 13.5hColumns 1 through 4 of the accompanying table show the marginal utility, measured in utils, that Ricardo would get by purchasing various amounts of products A, B, C, and D. Column 5 shows the marginal utility Ricardo gets from saving. Assume that the prices of A, B, C, and D are $18, $6, $4, and $24, respectively, and that Ricardo has an income of $105. Column 1 Column 2 Column 3 Column 4 Units Units Units Units of A MU of B MU of C MU of D MU 1 72 1 24 1 15 1 36 54 15 12 2 30 3 45 3 12 3 8. 3 24 4 36 4 7 4 18 27 7 5 5 13 6 18 6 5 6 4 6 7 7 15 7 2 7 3.5 7 8 12 8 1 8 3 8 2 а. What quantities of A, B, C, and D will Ricardo purchase in maximizing his utility? b. How many dollars will Ricardo choose to save? c. Check your answers by substituting them into the algebraic statement of the utility-maximizing rule. In other words, show it works when using this rule.1. [35 marks] An individual derives utility from consumption spending C and leisurel according to the following utility function: U(C,1)=C"1¹-a where 0>x>1. Leisure time in hours is given by: 1=T-H where T is hours of total time available and H is hours of work. The consumer's real income is given by: C=w (T-1)+N where w is real wage and N is real non-labour income. a) Derive the optimal values of C, I and the Lagrangian multiplier if the individual wishes maximise utility subject to the to constraint: C=w (T-1)+N. [15 marks]
- 4. The following data pertain to products A and B, both of which are purchased by Jay. Initially, the prices of the products and quantities consumed are: PA = $10; QA = 3; PB = $10; QB = 7 Jay has $100 to spend. After a reduction in price of B, the prices and quantities consumed are: PA = $10; QA = 2:5; PB = $5; QB = 15 Assume that Jay maximizes utility under both price conditions above. Also, note that if after the price reduction enough income were taken away from Jay to put him back on the original indifference curve, he would consume this combination of A and B: QA 1:5; QB = 9 Determine the change in consumption of good B due to the (1) the substitution effect and (2) the income effect using Hicks decomposition.Columns 1 through 4 in the following table show the marginal utility, measured in utils, that Ricardo would get by purchasing various amounts of products A, B, C, and D. Column 5 shows the marginal utility Ricardo gets from saving. Assume that the prices of A, B, C, and D are, respectively, $18, $6, $4, and $24 and that Ricardo has an income of $106. a. What quantities of A, B, C, and D will Ricardo purchase in maximizing his utility? b. How many dollars will Ricardo choose to save? c. Check your answers by substituting them into the algebraic statement of the utility-maximizing rule.6. For your birthday, you receive a hamper from your friend, which contains food and drink. They have chosen to buy you 8 packs of hot chocolate and 10 packs of luxury biscuits. Unfortunately, the hot chocolate is not milk chocolate and the biscuits are chocolate chip and not your favourite ginger biscuits! They haven't provided the receipt, but you return to the shop where the hamper was bought and ask to exchange the items. Each pack of hot chocolate was priced at £5 and each pack of biscuits was priced at £6. You face a utility function of U (Hċ, B) = H²B. When you return to the shop, you see that all of the biscuits are now half price, but all of the types of hot chocolate haven't changed in price. You are able to exchange your biscuits and hot chocolate, but can only receive a refund based on the current marked price of the products in the shop. Given this information and assuming hot chocolate is on the horizontal axis and your aim to maximise utility, what should you do? (a) You…