Given: (x is number of items) Demand function: d(x) = 862.4 – 0.5x? Supply function: s(x) = 0.6x² Find the equilibrium quantity: | Preview Find the consumers surplus at the equilibrium quantity: Preview
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![Given: (x is number of items)
Demand function: d(x) = 862.4 – 0.5x?
Supply function: s(x) = 0.6x²
Find the equilibrium quantity: |
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Find the consumers surplus at the equilibrium quantity:
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- Find the consumers’ surplus and the producers’ surplus at the equilibriumprice level for the given price–demand and price–supply equations and draw the graph. (You may round all values to the nearest integer). p = D(x) = 185e-0.005x p = S(x) = 25e 0.005xFill out the tables by calculating the price elasticity of demand and of supply (use the mid-point formula). Report elasticities with 2 decimals. Demand and Supply Schedule for Good X: Unit price of x Quantity demanded of x Quantity supplied of x Price elasticity of demand of x (2 decimals) Price elasticity of supply of x (2 decimals) $100 0 5 n/a n/a $95 2 4.5 $90 4 4 $85 6 3.5 $80 8 3 $75 10 2.5 $70 12 2 $65 14 1.5 $60 16 1 $55 18 0.5 Demand and Supply Schedule for Good Y: Unit price of y Quantity demanded of y Quantity supplied of y Price elasticity of demand of y (2 decimals) Price elasticity of supply of y (2 decimals) $100 10 40 n/a n/a $90 11 35 $80 12 30 $70 13 25 $60 14 20 $50 15 15 $40 16 10…Assuming a company produces two products - X and Y. The demand for company X's product is given by Qx = 24 – 6Px + 8Py. Suppose product X sells for $6.00 per unit and good Y sells for $3.00 per unit. Calculate the cross-price elasticity of demand between goods X and Y at the given prices. Are goods X and Y substitutes or complements? What is the own price elasticity of demand at these prices? How would your answers to parts (a) and (b) change if the price of X dropped to $5.00 per unit?
- Consider the following demand function. Quantity demanded, Q, is a function of Price, P, such that Q=1/P. The change in the quantity demanded for a change in the What is the price elasticity of demand? price (the slope) is known to be 0 1 8 P 0-1/1/212 P² - 1 P2The demand for hamburgers is given by Qd=10-p and the supply is Qs=4p-10, where pd and ps are, respectively the price paid by demanders and the price received by suppliers. A: Draw the demand and supply functions. What is the price-elasticity of demand? What is the price-elasticity of supply? B: Find the equilibrium quantity and price, and show them on the graph. C: Suppose due to the rising health awareness the demand decreases to Q d=5-p. Find the new equilibrium prices and quantity, and show them on the graph. D: Suppose that the demand and supply are as before, i.e. Qd=10-p and Qs=4p-10, but now the government imposes a quantity tax on the suppler at the rate of 1 per unit of the quantity. What quantity will be sold and what price? E: In part d), what is the total amount of tax collected by the government? How this tax amount is divided between the demanders and supplier? Who pays more and why? Explaina. The supply curve for televisions is given by QS=−20+4� where QS represents the quantity of televisions supplied and P is the price of televisions. The market demand for televisions is given by QD=400−10� where QD is the demand for televisions. Find the equilibrium price and quantity of televisions. b. Using the equations in part (a), calculate the price elasticity of demand for televisions when price changes to $25. c. Describe what will occur if price falls fellow equilibrium price calculated in part (a). How will this situation will be corrected?
- Suppose that the market demand for Turkey is given by: Q_(T)=2-8P_(T)+2P_(C)+0.0015I Where Q_(T) is annual quantity demanded of turkey in million pounds, P_(T) is the price of turkey per pound, P_(C) is price of chicken per pound, and I is the average household income in dollars per year. a. Find the annual quantity demanded of turkey if the price turkey is $2.00 per pound, price of chicken is $1.50 per pound and the annual household income is $30,000.In a particular market, demand and supply curves are defined by the following equations: P=50 – 0.5QD QS= -20 + 2P where, P is the price in pounds, QS is the quantity supplied and QD is the quantity demanded. 1. What is the equilibrium price and quantity? 2. What is the price elasticity at a price of £35? 3. What do you expect will happen to total expenditure on this good if the price increases from £35 to £40? Is this expectation confirmed if you calculate the total revenue for each price?Suppose that the supply of carrots is qs=1.5P0.5 , while the demand for qd= 200\P carrots is . 1.1a) Find the equilibrium price. 1.1b) Calculate the equilibrium quantity. 1.1c) Calculate the price elasticity of supply ( ) at the equilibrium point.
- Consider two markets: the market for cat food and the market for dog food. The initial equilibrium for both markets is the same, the equilibrium price is $3.50, and the equilibrium quantity is 31.0. When the price is $10.75, the quantity supplied of cat food is 75.0 and the quantity supplied of dog food is 103.0. For simplicity of analysis, the demand for both goods is the same. Using the midpoint formula, calculate the elasticity of supply for dog food. Please round to two decimal places.Suppose the own-price elasticity of demand for beef is -0.8 and the own-price elasticity of supply of beef is 0.9. Due to a newly introduced government policy, beef supply increases by 2% with no change in the demand for beef. Assuming that the current price for beef is 40/cwt and the quantity bought and sold is 2,000 cwt per day, find the new equilibrium price and quantity of beef (round your answers to two decimal places).suppose the demand curve for a product is given by Q=10-2P+Ps1,where P is the price of the product and Ps is the price of a substitute good. the price of the substitute good is $2.00. a)suppose P=$1.00, what is the price elasticity of demand?what is the cross- price elasticity of demand? b)suppose the price of the good, P, increases to $2.00. Now what is the price elasticity of demand, and what is the cross-prices elasticity of demand?
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