If in a pure competitive market the supply function is defined by Q=0.5P-0.5 whilst the demand function is represented by P+Q2-25=0.determine the magnitude of the consumer's surplus and producer's surplus
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If in a pure competitive market the supply function is defined by Q=0.5P-0.5 whilst the demand function is represented by P+Q2-25=0.determine the magnitude of the
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- A flour mill buys its wheat from two different farms, then processes the wheat into flour. Wheat from Farm X costs the mill $7 per bushel, and wheat from Farm Y costs the mill $15 per bushel. The selling price (in dollars per bushel) for the mill's wheat can be modeled by p(x, y) = 500 x y where x is the demand for the flour milled from Farm X's wheat and y is the demand for flour milled from Farm Y's wheat. Assume that x and y may be zero (so the mill only buys from one of the suppliers) and that the mill can by 1/2 of a bushel. Then the maximum profit is attained when x = y = bushels bushels The amount of the flour mill's maximum profit is $Consider a competitive market for red lentils with 100 identical farmers in Horsham Victoria, a competitive market price of $5 and the following MC for each farmer: MC = $0.05Q Also consider the following market demand function: QD a) Calculate the optimal level of production (in tonnes) for each farmer (show workings) = = 1000 - 40P b) Assuming 100 lentil farmers of equal size how many tonnes of lentils in total will be supplied in the entire market? (show all workings) c) Consider that the government now imposes a 25% tax on producers, calculate i) the new equilibrium level of output for each firm (hint - think about how this affects each farmer's marginal cost), and ii) new total supply in the entire market (show all workings)(1 point) Find producer's surplus at the market equilibrium point if supply function is p = 0.8x + 3 and the demand function is p = 150.4 +8 Answer:
- Find producer's surplus at the market equilibrium point if supply function is p = 0.4x + 4 and the demand function is p 96 I+9 Answer:A firm faces the following linear inverse demand for its product P = 60 - 2Q. a)Find the firm's total revenue function TR (Q).b)Find the expression for the firm's marginal revenue.c)Assumingthat the marginal cost of production is given by MC=8. What will be the equilibrium output and priceA retail chain will buy 900 cordless phones if the price is $30 each and 800 if the price is $40. A wholesaler will supply 350 phones at $40 each and 1400 at $70 each. Assuming that the supply and demand functions are linear, find the market equilibrium point and explain what it means.
- A competitive firm has a total cost function: TC = 20 + 50q − 6q2 + q3 and a marginal cost function MC = 50 − 12q + 3q2. (a) If the market price is P = $230 per unit, the firm will supply 10 units of the good. Calculate: (i) the profit (ii) the producer's surplus (b) Assume that the market price is P = $50 per unit. Find (i) the level of output supplied by the firm (ii) the firm's profit (use a minus before your answer if the firm incurred a loss) (c) Calculate the range of prices for which the firm will find it optimal to shut down.The inverse demand for tea is given by P= 10 – 0.04Q, where Pis the price per a gram of tea and Qis the total number of grams of tea brought to market. There are two tea shops in the market. Shop 1's cost function is given by C = 0.01q,?, where qı is the number of grams of tea it brings to market. Shop 2's cost function is given by C2 = 0.01q2², where qp is the number of grams of tea it brings to market. Given that the two shops compete by setting output (Cournot), answer the following. a) Identify shop 1's reaction function to shop 2's output to within 2 decimal places (e.g. 0.33). 91= Number - Number 92 b) Identify shop 2's reaction function to shop 1's output to within 2 decimal places (e.g. 0.71). q2= Number Number 91 c) To within two decimal places (e.g. 0.63) what is the equilibrium output level of each shop and the equilibrium per gram price for tea. Shop 1 will produce Number grams of tea and shop 2 will produce Number grams of tea. The equilibrium market price is £ NumberThe demand and supply functions for a particular commodity are D(x) = 80e-0.001x and S(x)= 30e0.001r , where x is the number of units of the product, D(x) is the price that results in a consumer demand of x units and S(x) is the price that results in a producer supply of x units. a. Find the equilibrium point using your calculator and identify the equilibrium units and price. Give your answers to the nearest whole unit and nearest dollar. The value of x at equilibrium is units. The value of p at equilibrium is b. Determine the consumers' surplus.
- Consider a competitive market for red lentils with 10,000 identical farmers, a competitive market price of $5 and the following MC for each farmer: MC = $0.5+ $0.05Q Also consider the following market demand function: Q_D=1,100,000-40,000P a) Calculate the optimal level of production (in tonnes) for each farmer (show workings). b) Assuming 10,000 lentil farmers of equal size, determine the market supply function and the equilibrium market quantity (show workings). c) Consider that the government now imposes a 25% tax on producers, calculate the new market equilibrium price (two decimal places) and new market equilibrium output (two decimal places) (show workings). d) Calculate the value of the deadweight loss for the consumer and the producer following a 25% tax on red lentils, as well as, the amount of government revenue.The inverse demand for tea is given by P = 8 – 0.03Q, where Pis the price per a gram of tea and Q is the total number of grams of tea brought to market. There are two tea shops in the market. Shop 1's cost function is given by C = 0.02q,?, where q, is the number of grams of tea it brings to market. Shop 2's cost function is given by C2 = 0.02q22, where q2 is the number of grams of tea it brings to %3D %3D market. Given that the two shops compete by setting output (Cournot), answer the following. a) Identify shop 1's reaction function to shop 2's output to within 2 decimal places (e.g. 0.33). 91= Number Number 92 b) Identify shop 2's reaction function to shop 1's output to within 2 decimal places (e.g. 0.71). q2= Number Number 91 c) To within two decimal places (e.g. 0.63) what is the equilibrium output level of each shop and the equilibrium per gram price for tea. Shop 1 will produce Number grams of tea and shop 2 will produce Number grams of tea. The equilibrium market price is £…The demand function of a market is:- Qd = 24P - 360 If the equilibrium price is $17 Find equilibrium quantity