A businessperson produces two distinct products, Q1 and Q2, using two different production methods. The entrepreneur complies with the equilibrium condition for each good, and the production function for each is CES. Assume that Q1 has a lower value for the parameter than Q2 and a higher elasticity of substitution than Q2. The input price ratio at which the input use ratio would be the same for both goods is to be determined. Which good would have a higher ratio of inputs if the ratio of input prices were lower? Which would be more frequently used if the price-to-use ratio were higher?
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- The elasticity of resource demand is calculated as: % Chage in resource quantjty/% Change in resource price If a calculation of Resource Demand Elasticity returns a quotient that is less than 1, then O Resource demand elasticity is relatively elastic, indicating there is a lack of resource substitutability O Resource demand elasticity is relatively elastic, indicating there is an ease of resource substitutability Resource demand elasticity is relatively inelastic, indicating there is a lack of resource substitutability Resource demand elasticity is relatively inelastic, indicating there is an ease of resource substitutabilitySuppose that the demand function is given as follows: 0 =1440– 3P +P, -I and Q, --240+ P where P denotes pnice of good x P, denotes the price of a related product y, I denotes income. a-) Find equilibnunm price and output (P and O) as a function of exogenous variables income () and price of the related product (P, ). Usng comparative statics, find how the equilibrium price and output change as Price of the related product ((P.) and income (I) change (ie find -) Support your findings with graphs (how demand and supply are affected?) Are goods x and y complements or substitutes? Is good x a nomal good or an inferior good?1. Given the market for electric cars:a) Give practical examples of what the main three categories of determinants of de-mand for electric cars could be.b) Assuming a simple linear function, write down the generic functional form of the demand function for electric cars, accounting for the .c) Give two practical examples, respectively, of what substitute and complementary goods with respect to electric cars could be.d) Suppose the federal government decided to offer subsidies to buyers of electric cars. Explain shortly, how would this influence the demand on this market? In a diagram, draw a pre- and post-subsidy demand curve.e) Explain the economic motivation staying behind the government subsidies to buyers of electric cars
- In Autarka there are 9600 people who like to visit an amusement park. Each of theseconsumers wants to visit one park once. The consumers' homes are evenly spaced acrossthe island, and they each suffer a disutility of $24 for each kilometre they travel to reachan amusement park. With their current technology, it costs an amusement park $12 for each customer theyhost. At present, the equilibrium price for an amusement park ticket is $36, and each firmhas a profit of $115,200. This market is best modelled as Hotelling competition. Fixed costs should be neglected. Treat this market as a one-shot game. Do not consider repetition or associated phenomena such as collusion or predatory pricing. Derive an expression for the location of the indifferent consumer. Use PA to represent the price of admission at Alfonso's Wonderland, and PB to represent the price of admission at Bernice's Wild Rides.In Autarka there are 9600 people who like to visit an amusement park. Each of theseconsumers wants to visit one park once. The consumers' homes are evenly spaced acrossthe island, and they each suffer a disutility of $24 for each kilometre they travel to reachan amusement park. With their current technology, it costs an amusement park $12 for each customer theyhost. At present, the equilibrium price for an amusement park ticket is $36, and each firmhas a profit of $115,200. This market is best modelled as Hotelling competition. Fixed costs should be neglected. Treat this market as a one-shot game. Do not consider repetition or associated phenomena such as collusion or predatory pricing. Find the profit function for Bernice's Wild Rides. Assuming that Bernice's marginal cost is $12.3. Garibaldi Provincial Park is located between Squamish and Whistler. A travel cost survey was completed to estimate demand for trips to the park. Bascd on the survey an estimated demand function was derived to represent an average household: P= 200 – 50Q. This is demand per year per household. If there are approximately 2000 households with a travel cost of $150, 3000 households with a travel cost of $100, and 4000 households with a travel cost of $50, what is the total consumer surplus per year from the park?
- You decide to sell pairs of running shoes. Assume that the quantity demanded is alinear function of the price. It is known that if you charge $40 per pair of shoes, thenyou will be able to sell 400 pairs of shoes in a month. If you charge $60 per pair ofrunning shos, then you can sell 300 pairs of shoes in a month. It is also known thatyour monthly fixed cost is $100 and pairs of shoes cost $20 per shoe to produce. Findwhat price you should charge for a pair of shoes in order to maximize profit in amonthA movie theater has been charging $ 10.00 per person and selling about500 tickets on Saturday and Sunday nights. After surveyingtheir customers, theater owners estimate that for every 50 cents theylower the price, the number of attendees will increase by 50 per night.Find the demand function and calculate the consumption surplus whentickets are sold for $ 8.00.Example2, The demand functions for two commodities X, and X, are given by 100 50 Pi P2 and X2 PiP? respectively. Find the four partial marginal demand functions. Also determine whether y X, are complementary or competitive.
- Which of the following is an important difference between Marshallian demand and Hicksian demand? Marshallian demand focuses on utility maximisation, whereas Hicksian demand focuses on income minimisation. Marshallian demand focuses on maximising total utility, whereas Hicksian demand focuses on maximising marginal utility. O Hicksian demand considers the substitution effect only, while Marshallian demand takes into account both the income and substitution effects. Marshallian demand takes the concept of 'inferior goods' into account, whereas Hicksian demand does not. O More than one of the above.Morgan has the following utility function: u(x, y) = 5 ln(x) + 3y. Her income is given by I = 15 and the prices originally are pr = 2 and py = 3. = (a) What are Morgan's Marshallian demands? (b) How much of each good is Morgan currently consuming? (c) What is the utility level that Morgan can achieve? (d) Assume the price of x increases to p = 4, find Morgan's new levels of consumption. X X (e) Find the total, substitution and income effects for good x caused by the price change. Consider this price change a "large" price change (Apz = Pz - Px=4-2=2).(i) Given the demand functions and the total cost function two goods: X and Y Px 164- &r Py = 81-2y TC = 800+ 4x +y+2xy %3D where x and y are the number of units of goods X and Y respectively Determine the values of x and y for which profit is a maximum. What is the maximum profit? (ii) A production requirement is that 80x + 20y = 640. Find the maximum profit subject of this constraint. Paragraph BIEE D.