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- Find the consumer and producer surpluses by using the demand and supply functions, where p is the price (in dollars) and x is the number of units (in millions). Demand Function: p = 1220 − 21x Supply Function: p = 40xFind the consumer and producer surpluses (in dollars) by using the demand and supply functions, where p is the price (in dollars) and x is the number of units (in millions). See Example 5. Demand Function Supply Function p = 200 − 0.2x p = 100 + 1.8xProducers' Surplus The demand function for a certain brand of CD is given by p = −0.01x2 − 0.2x + 7 where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. The supply function is given by p = 0.01x2 + 0.1x + 2 where p is the unit price in dollars and x stands for the quantity that will be made available in the market by the supplier, measured in units of a thousand. Determine the producers' surplus if the market price is set at the equilibrium price. (Round your answer to the nearest dollar.) $
- A demand function for a product is P = 100 – 2.2Q and its supply function is P = 2.8Q, where P is the price of the product in pound sterling (£). Determine:(a) the market equilibrium quantity (Q0) and price (P0) (b) the consumer surplus at market equilibrium(c) the producer surplus at market equilibriumThe demand function for a commodity is given by D(Q)=9- 2Q and the supply function is S(Q) = 3+ Q Determine the consumers' and producers' surplus at the equilibrium price.A toy company is trying to determine the optimal price for their weekly supply to meet the demand for a toy they are about to release. They estimate that the supply function follows p= 0.006q^2 + 0.14q+ 8.62 and the demand function follows p= -1.25q+ 65 , where p is the price of the toy (in dollars) and q is the weekly quantity of the toy (in hundreds). If the company tries to sell the toy for $24, will there be a shortage or surplus of toys each week?
- A manufacturing business can supply 60 plasma TV sets per month at a price of $280 per set, or sell 140 plasma TV sets if the price is $370 per set. A group of retailers will buy 80 plasma TV’s if the price is $350 per pair and 120 plasma TV’s if the price is $300 per set. Given that the demand and supply functions must be linear: Find the linear equations representing both demand and supply Find the point of market equilibrium (number of TVs: q) and the price per unit (p) at that point.The Demand function for a product is pd(q) = 80(0:1q + 0:2)2, where q is in millions of tons and pd(q) is in dollars per ton. Market equilibrium occurs at the demand for 18 million tons. Compute consumer's surplus.In this problem, p is in dollars and x is the number of units. If the demand function for a product is p = 28/(x + 1) and the supply function is p = 1 + 0.2x, find the consumer's surplus under pure competition. (Round your answer to two decimal places.)
- The estimated monthly U.S. demand function for avocados isQ = 144 − 40p + 20pt where p is the price of avocados and pt is the price of tomatoes, a substitute for avocados. The estmated supply function is Q = 58 + 15p − 20pf where the price of fertilizer, pf , is $0.40, so the supply function can be written asQ = 50 + 15p. The initial price of tomatoes is $0.80 per lb. Using algebra, determine the initial equilibrium price and quantity of avocados, and then determine how price and quantity change if the price of tomatoes increases by $0.55 to $1.35The demand function for x is D(p) = 65 - 2p and the supply function is S(p) = 20 + p. What is the price that should be set to restrict the quantity supplied to 30 units?Assuming a supply function of Qs = 100+100p and a demand function of Qd = 700-50p and an equilibrium price of $4 with an equilibrium quantity of 500million gallons please answer the following