For the demand function Qd = a - bP and the supply fuction Qs = dP - c, using Cramer's rule determine the equilbrium price and equilibrium quantity.
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1. For the demand function Qd = a - bP and the supply fuction Qs = dP - c, using Cramer's rule determine the equilbrium
2. In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all directions. Assuming that the area polluted is a circle and that its radius is increasing at a rate of 2ft/sec, determine how fast the area is increasing when the radius of the circle is 40ft.
3. A firms production function is Q(L) is 15L2 - 0.1L3, where output (Q) is a fuction of a single input labour (L)
I. Find the number of workers required to maximize total product.
II. For what number of workers is average product maximum
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- QUESTION 11 The function that relates the inverse of speed (1/S) (i.e., the time in minutes that it takes to travel 1 mile) to traffic (T) on a highway is 1/S = 4 + 0.05T. Demand for traffic (measure as traffic volume per minute) on this road is T=6,880 -– 70.(1/S). a. Find the equilibrium traffic volume in the absence of any congestion tollI. b. Find the marginal cost function for traffic volume, where cost is expressed as travel time per mile in minutes. c. Find the optimal level of traffic volume. d. Find the optimal congestion toll, expressed in minutes. (Imagine that the congestion toll consists of sitting in the "penalty box" for this period of time.)(1) For demand function Q, = a-bP and supply function Q, = dP-c, using Cramer's rule determine equilibrium price and equilibrium quantity. (2) In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all directions. Assuming that the area polluted is a circle and that its radius is increasing at a rate of 2 ft/sec, determine how fast the area is increasing when the radius of the circle is 40 ft. (3) A firms production function is Q(L) =15L -0.1L, where output (Q) is a function of a single input labour (L). (i) Find the number of workers required to maximize total product. (ii) For what number of workers is average product maximum?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?
- The table below shows the demand for pollution permits to emit hydrocarbons in a particular industrial park. Each permit allows the owner to release one tonne of pollutants into the atmosphere. Price per Pollution Permit Quantity of Permits $4,500 100 4,000 200 3,500 300 3,000 400 2,500 500 2,000 600 1,500 700 were charged, how many tonnes of pollutants would be discharged into the atmosphere, assuming a straight-line a. If fee for a pollution perm demand curve? Quantity: tonnes b. Suppose government were to set a fee of $2,500 per pollution permit. How many tonnes of pollutants would now be dumped? What is the total revenue received by government? Quantity: tonnes Total revenue: $ c. Suppose that a new technology allows for a significant reduction in hydrocarbons at a relatively low cost so that the demand for pollution permits in the industrial park drops by 200 tonnes. Assuming that government holds the permit fee at $2,500, how many tonnes of pollutants would now be dumped? What…If a regulator underestimates the aggregate marginal abatement cost of an industry when determining the “efficient” level of emissions, the true efficient level of emissions will be? (higher, lower or same). Hint: construct a graph with AMAC and MD.(a) Show that the function Q = a/P* , where a and c are constants, has a constant elasticity of demand: ɛg = -c. (b) (i) Determine the elasticity of demand for train journeys on a given route when the demand function is Q = 1200/P|.2, where Q is the number of fares in thousands. (ii) If the fare increases by 5%, use elasticity to calculate the percentage change in demand. (iii) If the fare decreases by 5%, use elasticity to calculate the percentage change in demand.
- Given the covid environment what do you think the elasticity for Mask was prior to April 2020 versus after April 2020 explainThe table below shows the demand for pollution permits to emit hydrocarbons in a particular industrial park. Each permit allows the owner to release one tonne of pollutants into the atmosphere. Price perPollution Permit Quantity of Permits $4,500 75 4,000 150 3,500 225 3,000 300 2,500 375 2,000 450 1,500 525 a. If no fee for a pollution permit were charged, how many tonnes of pollutants would be discharged into the atmosphere, assuming a straight-line demand curve? Quantity: tonnesb. Suppose government were to set a fee of $3,500 per pollution permit. How many tonnes of pollutants would now be dumped? What is the total revenue received by government? Quantity: tonnes Total revenue: $ c. Suppose that a new technology allows for a significant reduction in hydrocarbons at a relatively low cost so that the demand for pollution permits in the industrial park drops by 150 tonnes. Assuming that government holds the permit fee at $3,500, how many tonnes of…A polluting firm’s marginal abatement cost is MACi = 50 – 0.25ei . If a regulator imposes a per-unit emissions tax of t = 10, what level of emissions does the firm choose under the tax? A polluting firm’s marginal abatement cost is MACi = 50 – 0.25ei . If a regulator imposes a per-unit emissions tax of t = 10, how many units did the firm abate relative to the unregulated environment?
- 3. Draw the market for electricity below with the knowledge that the energy market is the greatest global polluter.From an economic perspective, is it sound policy to pursue a goal of zero pollution? Why or why not? Can extreme levels of pollution hurt the economic development of a high-income country? Why or why not? How can high-income countries benefit from covering much of the cost of reducing pollution created by low-income countries? The table below shows the supply and demand conditions for a firm that will play trumpets on the streets when requested. Qs1 is the quantity supplied without social costs. Qs2 is the quantity supplied with social costs. How does accounting for the externality affect the equilibrium price and quantity?Problem 1: American Company is interested in obtaining quick estimates of the supply and demand curves for coal. The firm's research department informs you that the elasticity of supply is approximatively 1.7, the elasticity of demand is approximatively -0.85, and the current price and quantity are $41 and 1,206 respectively. Price is measured in dollars per ton, quantity the number of tons per week. a. Find the supply and demand equations b. Calculate the new demand curve if the demand shifted by + 5%. c. If the government refused to let Americans raise the price when demand increased in (b) above, what shortage is created? d. Show the shortage in a graph. Label your graph.