Find the consumers' surplus and the producers' surplus at the equilibrium price level for the given price-demand and price-supply equations. Include a graph that identifies the consumers' surplus and the producers' surplus. Round all values to the nearest integer. p=D(x) = 110 e -0.005x; p= S(x) = 25 e 0.005x The value of x at equilibrium is. (Round to the nearest whole number as needed.)
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- Consider the demand ftunction for processed pork in Canada, Q, = 796.00 - 37p • 20p, + 3p. + 0.002Y %3D The supply function for processed pork in Canada is: Q = 363.00 + 54p - 60ph pis the price of pork Pp is the price of beof = $4 per kg Q is the quantity of pork demanded Pe is the price of chicken = $3 per kg Y is the income of consumers = $12,500 Ph is the price of a hog = $1.50 per kg (measured in millions of kg per year) Solve for the equilibrium price and quantity for pork. The equilibrium price of pork is S and the equilibrium quantity of pork is milion kg per year. (Enter numeric responses using real numbers rounded up to two decimal places.)1. The weekly demand (Qd) and supply (Qs) functions for a good X are given by:-Qd = 1000 – 5pQs = -400 + 15p, where P = Price per unit (R)(i) Draw the demand and supply curves on a graph and find the equilibrium priceand quantity (ii) If the demand function changes to 1200 – 5P, show the changes to part (i)above. (iii) Suppose a subsidy of R40 per unit is subsequently granted to producers ofgood X. Determine the new equilibrium price and quantity. (b) Use suitable examples to explain the likely effects of a price ceiling. (c) What do you understand by the ‘Substitution and Income effects’ of a change inprice of a good. (d) Elaborate on the factors influencing Price Elasticity of Demand (PED) and PriceElasticity of Supply (PES) of a good. 2. (a) Explain the concepts of Price Elasticity of Demand (PED), IncomeElasticity of Demand (YED) and Cross Elasticity of Demand (CED)(b) To what extent can PED be important to:-(i) a government, (ii) managers of hypermarkets ‘3. (a) Compare the…The demand for butter is given by 120-4pd and the supply is 2ps-30, where pd and ps are, respectively the price paid by demanders and the price received by suppliers. a: Draw the demand and supply functions. b: Find the equilibrium quantity and price, and show them on the graph. c: Suppose a drought strikes that shifts the supply functions to 2ps-60. The demand remains the same. Draw the new supply function, and find the new equilibrium price and quantity.
- Solve a Consumers' or Producers' Surplus Problem. A sports watch has a price-demand equation given by p= D(z) = 40-2-0174176a dollars, which gives the price per watch when a watches are demanded. The price-supply equation for the watch is given by p= S(x) = 0.6z+4 dollars, which gives the price per watch when z watches are supplied. If the equilibrium quantity is 11, find the consumers' surplus and the producers' surplus. The consumers' surplus is. (Your answer must begin with S.) The producers' surplus is Your answer must begin with $.)Suppose a market is described by the following demand and supply curves, respectively: Qd =50−P Qs = 0.5P − 10 (a) Calculate the equilibrium price and quantity.(b) Plot the supply and demand curves on a single graph. (c) Now, supposed the government imposes a price ceiling of $30 in this market. Show, on the same graph in part (b), the effect of this price ceiling. Calculate the equilibrium price and quantity. Is there a shortage or a surplus? Of how many units? What is the full economic price in this market? Show, on the same graph in part (b), the loss of social welfare and calculate the dollar value of this loss.Find the equilibrium point of the demand and supply equations. Demand is p = 370 0.0003x Supply is p = 136 +0.0006x (x, p) =?
- The demand function for a certain product is? = 86 − ?2and the supply function is? = ?2 + 6? + 30where p is in millions of dollars and x is the number of thousands of units. Find the equilibriumpoint (x, p), then find the consumer’s surplus and producer’s surplus. Round your answer to thenearest unit (the nearest million dollars).Find the consumers' surplus and the producers' surplus at the equilibrium price level for the given price-demand and price-supply equations. Include a graph that identifies the consumers' surplus and the producers' surplus. Round all values to the nearest integer. p=D(x) = 110e 0.004x. `; p= S(x) = 25e0.004x The value of x at equilibrium is. (Round to the nearest whole number as needed.)The demand and supply functions for a particular commodity are D(x) = 80e-0.001x and S(x)= 30e0.001r , where x is the number of units of the product, D(x) is the price that results in a consumer demand of x units and S(x) is the price that results in a producer supply of x units. a. Find the equilibrium point using your calculator and identify the equilibrium units and price. Give your answers to the nearest whole unit and nearest dollar. The value of x at equilibrium is units. The value of p at equilibrium is b. Determine the consumers' surplus.
- A particular commodity has a price-demand equation given by p = √18,444 - 417x, where x is the amount in pounds of the commodity demanded when the price is p dollars per pound. (a) Find consumers' surplus if the equilibrium quantity is 40 pounds. (Round your answer to the nearest cent if necessary.) (b) Find consumers' surplus if the equilibrium price is 17 dollars. (Round your answer to the nearest cent if necessary.) $1. Suppose the demand for and supply of one-bedroom housing units in Nairobi’s Westlands area can be represented by the following linear functions:Qd =18,200–40P and Qs =–2,200+20PWhere Qd, Qs = Number of housing units in thousands, P = Price in US dollars.a) Determine the market equilibrium price and quantity b) Suppose the government decides to subsidize the cost of construction one-bedroom houses in the area at US$20.00 per housing unit. Determine the equilibrium outcome after the subsidy, and show how the benefit is shared between tenants and landlords. How much will the subsidy costthe government?c) Graphically show your results using well labeled demand and supply curvesComplete the problem by using the accompanying figure, which shows a supply function and a demand function. (Assume price is measured in dollars.) Р 40 30 20 10 10 20 30 40 50 60 (a) If the price is $12, what quantity is supplied? Units (b) If the price is $12, what quantity is demanded? units (c) Is there a surplus or a shortage when the price is $127 O surplus O shortage How many units is this surplus or shortage? units