Suppose the supply and demand equations for a manufacturer's product are and p = - 1 100 509 14, respectively, where q represents number of units and p represents price per unit in dollars. If a tax of $1.00 per unit is imposed on the manufacturer, determine the equilibrium quantity and the equilibrium price.
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- The demand and supply functions for product x are given, respectively, by the equations: P = 83.6 - 0.037 Q P = 15.7 + 0.056 Q. A P10 tax per units is levied to the manufacturer. What is the price paid by the buyer before the imposition of tax?Suppose the observed annual quantity of steel exchanged in the European market is 30 million metric tons, and the observed market price is 90 euros per ton. If the price elasticity of demand for steel is -0.3 in Europe, what is an appropriate value for the price coefficient (b) in a linear demand function Q = a - bP?Suppose the following demand and supply function of a commodity. 15 Qd = 55 - 5P Qs = -50 + 10P After imposing tax, the new supply function is Qs = -60 + 10P Find out the equilibrium price and quantity before tax.
- After a careful statistical analysis, the Chidester Company concludes the demand function for its product is Q = 500 - 3P + 2Pr + 0.1I where Q is the quantity demanded of its product, P is the price of its product, Pr is the price of its rival’s product, and I is per capita disposable income (in dollars). At present, P = $10, Pr = $20, and I = $6,000. What is the cross- price elasticity of demand between its product and its rival’s product? a. 0.0388 b. 0.0721 c. 0.0360 d. -0.0360The demand function for beer is given below, where p is the retail price and D(p) is the demand in gallons per capita. For the demand function, find the elasticity of demand E(p) for any price p. [Note: You will find that demand is inelastic. This means that taxation, which acts like a price increase, is an ineffective way of discouraging liquor consumption, but is an effective way of raising revenue.] D(p) = 6.913p−0.142In Figure 3.7, applying a $1.05 specific tax causes the equilibrium price to rise by 70¢ and the equilibrium quantity to fall by 14 million kg of pork per year. Using the pork supply function and the original and after-tax demand functions, derive these results using algebra. Figure 3.7
- After a careful statistical analysis, the Chidester Company concludes the demand function for its product is Q = 500 - 3P + 2Pr + 0.1I where Q is the quantity demanded of its product, P is the price of its product, Pr is the price of its rival’s product, and I is per capita disposable income (in dollars). At present, P = $10, Pr = $20, and I = $6,000. What is the price elasticity of demand for the firm’s product? a. -0.0291 b. -0.027 c. -0541 d. -.270Enabling 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…After a careful statistical analysis, the Chidester Company concludes the demand function for its product is Q = 500 - 3P + 2Pr + 0.1I where Q is the quantity demanded of its product, P is the price of its product, Pr is the price of its rival’s product, and I is per capita disposable income (in dollars). At present, P = $10, Pr = $20, and I = $6,000. What is the income elasticity of demand for the fi rm’s product? a. -0.5405 b. 0.5405 c. 1.0811 d. 0.5825
- The demand function for beef is Qd = 100 – 3P and supply function for beef is Qs = 10 +2P. Price elasticity of demand is – 0.1 and price elasticity of supply is 0.02. ii. Calculate new price of beef in the market when government introduces a specific tax of N$0.25 per kg.The market demand and supply functions for a good are: QD = 260 - 50P and QS = -40 + 10P. The equilibrium quantity and price are 10 and €5 respectively.Suppose the government imposes a tax of €0.60 per unit. The price paid by consumers after the tax will be €5.10€5€5.60€4.60The demand (D) and supply (S) function for a commodity are P =100 – 2Q and P = 10 + Q, respectively. (a) Find the equilibrium price and quantity. That is, find the price and quantity where the D and S functions intersect. (b) A new 10% tax is imposed on this commodity. Find the burden of the tax on demanders and the burden on suppliers. Also find the total taxes.