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- Consider the following general linear demand and supply functions that represent a market: Qd = Z −GP (3) Qs = D + EP+ CS (4) where P is the price, S is a variable denoting the average amount of production shipping costs, and Qd and Qs are the quantity demanded and the quantity supplied. Assume D, E, G, and Z all have values greater than zero. What equation (in addition to equations 3 & 4) completes our mathematical model of market equilibrium? Identify the parameters, endogenous variables, and exogenous variables in the above system of Derive expressions for the equilibrium market price (P∗) and quantity (Q∗) and illustrate your answers with a graph. Be sure to specify the symbolic values of the demand and supply curves where they intersect with the P-axis and Q-axis in the positive Given your…Enabling Assessment - Demand Estimation and Forecasting Given: The ATV Company produces a specialty cement used in the construction of roads. ATV is a price-setting firm and estimates the demand for its cement using a demand function in the linear form: Q = f (P, M, PR) where Qc = demand for cement/month (in yards) Pc = the price of cement per yard, M = country’s tax revenues per capita, and PR = the price of asphalt per yard. The manager of ATV obtained the following results in her attempt to estimate the demand for cement in the succeeding months. The results are presented below: DEPENDENT VARIABLE Qc R- SQUARE F-RATIO P-VALUE ON F OBSERVATIONS 64 0.8093 84.872 0.0001 VARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01…The supply and demand functions for maize farmers are given as Qs = - 32 + 10P and Qd = 40 – 2P respectively where Qs is quantity supplied in bags, Qd is quantity demanded in bags and P is the price per bag in Ghana Cedis. (a) Determine the equilibrium price and quantity of maize. (b) As a result of the introduction of a new technology in maize farming, the supply function for maize changes to become Qs = - 20 + 10P. Demand remains unchanged. i. Determine the new equilibrium price and quantity. ii. Derive the supply and demand table for maize before and after the introduction of the new technology for price ranges 3, 4, 5, 6, 7 and 8. (c) Suppose government intervenes in the maize market and fixes a minimum price of GHC8 per bag after the introduction of the new technology. i. What happens in the maize market? ii. Give two (2) measures that the government can take to deal with the situation created by the minimum price in (c) i. above
- Based on the model of demand and supply, the demand and supply functions are given at the following equations: P = 4QS QD = 500 – P Where: QS is the number of packs of cigarettes offered for sale; QD is the number of packs of cigarettes purchased on the market, P is the price of pack of cigarettes. Find the equilibrium price and the number of packs of cigarettes at market equilibrium. To reduce cigarette consumption, the state has set a minimum price of P=15. Determine the size of the imbalance at this price.The demand and supply of pizza is defined by the following equations: Qd = D(P, Y ) = 1 + Y − 2P Qs = D(P, PM) = 2 P/PM where, Qd is quantity demand, P is the price of each pizza sold, Y is the average income of consumers, Qs is the quantity supplied, and Pm is the price of inputs used in the production of pizza. (a) List the endogenous and exogenous variables of this model (b) Find the equilibrium price Pe and quantity Qe of pizza as a function of the exogenous variables. (c) Use a simple demand and supply diagram to show what happens to the equilibrium price and quantity when there is an increase in one of the exogenous variables.At a unit price of $340, the quantity demanded of a certain commodity is 80 pounds. If the unit price increases to $560, the quantity demanded decreases by 22 pounds. Find the demand equation (assuming it is linear) where p is the unit price and x is the quantity demanded for this commodity in pounds. p= At what price are no consumers willing to buy this commodity? According to the above model, how many pounds of this commodity would consumers take if it was free?
- When the price is 10 TL for each pack of cookies, the supply is 250 thousand and the demand is 120 thousand boxes.When the price is 9,5 TL for each pack of cookies, the supply is 200 thousand and the demand is 240 thousand boxes. Since the price-demand and supply-demand equations are linear; Find and interpret the market equilibrium point after-tax if the consumer is taxed at a rate of 0,75 TL per product.If the price per unit of good A is P175 quantity purchased is valued at 5,250 units and quantity supplied equals 2,500 units. If price changes by P1, quantity demanded changes by 4 units for consumer demand and quantity supplied changes by 2 units. Determine the demand and supply functions. Determine the price and quantity at equilibrium, using algebraic solution. Graph demand and supply curves on one set of axes and highlight the following: price-intercepts of demand and supply curves, quantity-intercepts of demand and supply curves, and the equilibrium point. (Make sure to LABEL your graph accordingly.)Green et al. (2005) estmate the supply and demand curves for Californa processod tomatoes. The supply function is: \[ \ln \left(Q_{s}\right)=0.200+0.550 \ln (p) \] whereQis the quantify of processing tomatoes in milions of tons per year andpis the price in dollars per ton. The demand function is: \[ \ln \left(Q_{d}\right)=2600-0.200 \ln (p)+0.150 \ln \left(p_{1}\right) . \] wherep1is the price of tornato paste (which is what processing tomatoes are used to produce) in dollars per ton. Supposept=$119Determine how the equilerium price and quantity of processing tomatees change if the price of tomato pasise tails by16%. If the price of tomato paste fals by18%, then the equaborium price will by 5 (Enter a numene response using a real number rounded to two decimal places)
- Botswana and South Africa both produce laptops. Botswana produces the Lenovo brand whereas South Africa produces the Acer brand. The demand and supply structure in both countries are given by the Dixit-Stiglitz model, with an elasticity of substitution equal to two in both countries. Assume that the laptop market in Botswana is much large than in South Africa. In both countries, the marginal labour input requirement is one and the fixed labour input per variety is 2.5. Botswana's labour employment in the cell phone industry is 20 million people whereas that of South Africa is 10 million people. Determine the number of varieties that will be supplied to Botswana and South Africa laptop markets in Autarky.Assume two famous kurta brands; A1Suits selling kurtas made with natural pure cotton while K2Kaprey with polyester. An article is published giving advantages and recommendation of wearing pure cotton clothing material during a heat wave. What will be the short-run and the long-run impact of the research article? In support of your answer apply the comparative statics analysis, using clearly labelled two panel diagrams of demand and supply model, along-with brief explanations for: a. Short-run market changes due to ‘Rationing function of Price’. b. Long-run market analysis of ‘Guiding or Allocating function of Price’.For each of the determinants of demand in Equation 2.1, identify an example illustrating the effect on the demand for hybrid gasoline-electric vehicles such as the Toyota Prius. Then do the same for each of the determinants of supply in Equation 2.2. In each instance, would equilibrium market price increase or decrease? Consider substitutes such as plug-in hybrids, the Nissan Leaf and Chevy Volt, and complements such as gasoline and lithium ion laptop computer batteries.
