QUESTION 4 If the demand equation for an item is D(x) = -5.0x + 80 and a supplier is willing to supply 10 items at $300 per item, or 50 items at $1900 per item, find the equilibrium quantity, assuming linear supply and demand models.
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- Answer the question based on the following data. Price per Unit Quantity Demanded per Unit of Time $ 20 12 18 17 16 20 14 24 12 30 10 36 8 40 6 44 4 48 Over which of the following price ranges is the demand unit-elastic? Multiple Choice $18-16 $16-$14 $14-$12 $12-$10The market supply and demand equations for a given product are given by the expressions QD=200-50p QS=-40+30P a. Find the equilibrium price and Quantity b. Suppose that there is an increase in demand and supply to QD=300-50P QS=-20+30P Respectively, find the new equilibrium point. In addition to this, show the impact of change in demand and supply using axing graph.A local store will buy 20 doorbell cameras from a supplier if the price is $77 each. If the price drops to $27 , then the store will buy 30 . The supplier is willing to sell 66 doorbell cameras for the price of $50.50 each, but only 49 at a price of $42.00 each. Find the supply and demand functions and the market equilibrium point. Assume both the supply and demand are linear. Use integers, fractions or decimals to describe the slopes and p-intercepts. A) What is the equation for the demand? p= B) What is the equation for the supply? p= c) What is the market equilibrium point?Explain in details
- The demand equation for a particular candy bar is px + x + 20p = 3000 where 1000x candy bars are demanded per week when p dollars is the price per bar. If the current price of the candy is 49 dollars per bar and the price per bar is increasing at the rate of 0.2 dollars each week, find the rate of change in the demand.Consider the demand function d(p)=300e^−0.01p^2 items purchased when charging p dollars per item. Currently the price is 9 dollars per item. Use marginal analysis to estimate the decrease in demand when the price increases by 0.3 dollars per item. Demand would decrease by approximately _____ items. Round your answer to three decimal places.Assume that the demand function is equal to: QD = 5000 - 1000P Where the price range is P1.00 to P5.00, derive the demand schedule economics
- The demand equation for a particular candy bar is px + x + 20p = 3000 where 1000x candy bars are demanded per week when p cents is the price per bar. If the current price of the candy is 49 cents per bar and the price per bar is increasing at the rate of 0.2 cents each week, find the rate of change in the demand.The quantity demanded for the Sony VCR model 37 is 2500 per week when the unit price is $700. For each increase in unit price of $50, the quantity demanded decreases by 250 units. The suppliers will provide 2500 units when the price is $800 per unit, and they will not supply any units for $500 or less. (Note: Define your variables.) A. Algebraically determine the supply equation. (Place in function form.) B. Algebraically determine the demand equation. (Place in function form.) C. Algebraically determine the equilibrium quantity and price. D. At what price does excess supply occur?Suppose the estimated supply function for avocados is given by QS = 48 + 15p – 10pf , where pf is the price of fertilizer. The estimated demand for avocados is given by Qd = 233 - 40p + 5pt , where pt is the price of tomatoes per pound. Solve for the initial equilibrium price and quantity of avocados if the price of fertilizer, pf ,is equal to $0.35 per lb. and price of tomatoes, pt, is equal to $0.80 per lb. Solve for the new equilibrium price and quantity of avocados if the price of fertilizer, pf , increases to $0.90 per lb. and price of tomatoes, pt, remains $0.80 per lb. Use these equilibrium values from parts a. and b. to solve for the price elasticity of demand for avocados. Given your calculations, are avocados elastic, inelastic or unit-elastic? Have total expenditures on avocados increased, decreased, or not changed as a result of the change in the price of fertilizer?
- If the demand function for a commodity is ?2+4?=1600p2+4q=1600 and the supply function is given by the equation 300−?2+2?=0300−p2+2q=0, find the equilibrium quantity and equilibrium price.Assume that the market of pens consists of three consumers who's demand curves are P=15-0.5Qa. P=5-0.111Qb and P=5-0.2Qc. The supply function given is P=5-0.25Qs.a) calculate the market price and output for pens for the month of March 2023 and show your answer graphically.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: Determine the associated linear demand function Determine the linear supply function. At what price should the camera be sold so that there is neither a surplus nor a shortage?