(b) Show that the equilibrium price (p*) and number of trips demanded (Q*) are given by: p* Q* = 120 90-C+T 1800-100C - 20T 90-C+T (c) The local government wants to reduce congestion on the airport road by lowering the use of taxis to Q' < Q*. Suppose that a tax is imposed on petrol which raises C from C = 10 to C = 15. Use diagrams to illustrate the impact of this tax on the prices and quantities in the market for taxis.
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- When the price of a gallon of milk increases from $6 to $8, quantity demanded decreases to 27 gallons. Assuming the price elasticity of demand for milk is -0.3, what is the original quantity demanded? (assuming further that this is the point elasticity relative to the original point on the demand curve.) Please make sure you give a numerical answer with no units and/or space or period (.) or comma (,) before or after your answer. Enter your answer hereThe demand equation for a certain brand of pencil is 100y? + 9t2 = 3600 where (y) represents the number (in thousands) of ten-packs demanded each week when the unit price is $(t). How fast is the quantity demanded increasing when the unit price per ten-pack is $14 and the selling price is dropping at the rate of $0.15 per ten-pack per week?a) The demand function for a product is p = 60 3-9/15) where q is the number of units and p is the price of one unit. At what price will the demand be 15 units? How many units will be demanded if the price is $41.60?
- Consider the demand function for bicycles in South Florida: Q = 24 + 3Y – 1.2P where: Q is quantity demanded, Y is monthly income, and P is the price per unit. If/when P = $54, and Y = $2,300, (a) Find the quantity of bicycles that would be sold. (b) Calculate the amount of the seller's total revenue. (c) Compute the price-elasticity of demand (Ep) for bicycles. (d) Interpret your result in (c). (e) Compute the income-elasticity of demand (Ey) for bicycles. (f) Interpret your result in (e).The demand function for an item is given by d(x) = 100/ 0.01x 2 + 1 (20 ≤ x ≤ 50) where d(x) (measured in units of a thousand) is the quantity demanded per weak and x is the unit price in dollars. (a) Find the rate of change in demand with respect to price. (b) How fast is the demand changing at price equal to 30 (x = 30)?(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.
- 4. There is no demand for a certain make of one-time use camera when the unit price is $ 12. However, when the unit price is $ 8, the quantity demanded is 8000/week. The supplier will not market any cameras if the unit price is $ 2 or lower. At $ 4/camera, however, the manufacturer will make available 5000 cameras/week. Given that both the supply and demand equations are linear: (a) Determine the associated linear demand function (b) Determine the linear supply function. (c) At what price should the camera be sold so that there is neither a surplus nor a shortage?4x + 500 10x +9 the number of plants sold per day when the price is x dollars per plant. A garden shop determines the demand function q = D(x) = (a) Find the elasticity. (b) Find the elasticity when x=3. (c) At $3 per plant, will a small increase in price cause the total revenue to increase or decrease? (a) The elasticity is during early summer for tomato plants where q is M IrThe demand function for a certain product is given by p = 500 + 1000/q+1 where p is the price and q is the number of units demanded. Find the average price as demand ranges from 46 to 96 units. (Round your answer to the nearest cent.)
- 4x+200 A garden shop determines the demand function q = D(x) = 30x+9 during early summer for tomato plants where q is the number of plants sold per day when the price is x dollars per plant. (a) Find the elasticity. (b) Find the elasticity when x = 2. (c) At $2 per plant, will a small increase in price cause the total revenue to increase or decrease? (a) The elasticity isLumber-4-Less knows that the monthly demand for framing studs is 2550 when the price is $1.75 each, but the demand rises to 3050 when the price decreases to $1.70. Assuming that the demand function is linear, write the equation for the demand function. Use q for quantity. P =Suppose the demand for a product is given by D(p) = -2p+ 232. A) Calculate the elasticity of demand at a price of $59. Elasticity = (Round to three decimal places.) B) At what price do you have unit elasticity? (Round your answer to the nearest penny.) Price = $