(The demand and supply functions for a product are given in dollars, with q representing quantity, such that) D(q) = q? – 10q + 30, where q < 5 dan (and) S(q) = -10 + 4q (Find the consumer and the producer surplus if you know that the market for the given period is in equilibrium).
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- A certain product has supply and demand functions given by p=40q+400 and p=5400-60q respectively. (a) If the price p is $1200, how many units q are supplied and how many are demanded? (b) What price gives market equilibrium, and how many units are demanded and supplied at this price? (A) When the price p is $1200, there are ____ units supplied and ____ units demanded. (Simplify your answer) (B) The market equilibrium price is $___ and ___ units are supplied and demanded. (Simplofy your answer)1. The marginal price ?? ?? at ? units of demand per week is proportional to the price p. There is no weekly demand at a price of $1000 per unit, that is ?(0) = 1000. There is a weekly demand of 10 units at price of $367.88 per unit, ?(10) = 367.88. (A) Find the price-demand equation. (B) At a demand of 20 units per week, what is the price? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.1. (a ) The price of a crate of drinks is $9 when the demand is 320 crates and the price per crate drops to $8.50 when the demand is 270 crates. determine the linear price-demand function (b ) calculate the price per crate at a demand of 180 crates (c ) if the equation for supply is given: p(x)= -0.005+10 find the equilibrium price and quantity per crate.
- 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?(a) The inverse demand function for taxi-apps is estimated to be p = 100-2Q. If the price increases from 20 to 3O, then by how much does consumer surplus change?The price-demand equation, D(x), and the price-supply equation, S(x), of a Slow Cooker are given below. k - x p = D(x) = and p =s(x) = 0.25x2 + 7, for some constant k. 4 %3D When the price is pegged at $15, the consumers' surplus is found to be $200. (a) Find k. (You will be able to solve for two values of k. Provide an explanation why one of these values is not feasible.) (b) Find the equilibrium price and equilibrium quantity using the value of k found in part (a). (c) Find the consumers' surplus at the equilibrium point. Interpret what this value represents. (d) Find the producers' surplus at the equilibrium point. Interpret what this value represents.
- Q4 The demand function and supply function for a good in the market are as follows: Q =140 – 10P Q, = 20 +10P where: Qa = Quantity demanded (units) O, = Quantity supplied (units) P = Price (RM) %3D (a) Given the price of an item as in Table Q4(a), find the quantity demanded (in units) and quantity supplied (in units) Table Q4 (a) Price (RM) Price (RM) 1 7 4 9 10 (b) Determine the market equilibrium price and quantity (c) Why is the price of RM4 not the equilibrium price? (d) Using your answer in (a), draw a graph and determine the market equilibrium price/point.When sold for $790.00, a certain desktop has an annual supply of 129.5 million computers and an annual demand of 155.5 million computers. When the price increases to $865.00, the annual supply increases to 147.5 million computers, and the demand drops to 134.5 million computers. NOTE: Round slope and vertical intercept to 4 decimal places and use those rounded values to the end. (a) Assuming that the supply and demand equations are linear, find the supply and demand equations. Supply Equation p = Demand Equation p = esc (Note: The equations should be in the form p = mq + b where p denotes the price (in dollars) and q denotes the quantity (in billions). The slope and y-intercept should be accurate to 4 decimal places). (b) Find the Equilibrium price and quantity. Equilibrium price p = Equilibrium quantity q = 9- F2 A (Note: The equilibrium price should be accurate to 2 decimal places and quantity should be rounded to the nearest whole number, and the equilibrium price should include a…1. (a) The weekly demand (Qd) and supply (Qs) functions for a good X are given by:-Qd = 1000 – 5pQs = -400 + 15p, where P = Price per unit (R) (i) Draw the demand and supply curves on a graph and find the equilibrium price and quantity (ii) If the demand function changes to 1200 – 5P, show the changes to part (i) above. (iii) Suppose a subsidy of R40 per unit is subsequently granted to producers of good X. Determine the new equilibrium price and quantity. (b) Use suitable examples to explain the likely effects of a price ceiling. (c) What do you understand by the ‘Substitution and Income effects’ of a change in price of a good. (d) Elaborate on the factors influencing Price Elasticity of Demand (PED) and Price Elasticity of Supply (PES) of a good.
- 2. Consider a market where supply is given by Xs(p) = 400p and there are 800 identical consumers, each with demand function x; = 6-p where p denotes the good's price. (a) Find the aggregate demand for the good, Xa(p). (b) Determine the equilibrium price and quantity. (c) Calculate consumer and producer surplus and total surplus.A movie theater has been charging $ 10.00 per person and selling about500 tickets on Saturday and Sunday nights. After surveyingtheir customers, theater owners estimate that for every 50 cents theylower the price, the number of attendees will increase by 50 per night.Find the demand function and calculate the consumption surplus whentickets are sold for $ 8.00.The demand x is the number of items that can be sold at a price of $p. For x = p" - 3p° + 1500, find the rate of change of p with respect to x by differentiating implicitly. The rate of change of the price p with respect to the demand x is