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- 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.In this problem, p is in dollars and x is the numbey of units. If the demand function for a product isp = 9/(x + 1) and the supply function is p = 1 + 0.2x, find the consumer's surplus under pure competition. (Round your answer to the nearest c 24A 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 price
- The average revenue function for a commodity is p = 50 – 4q. Find edp when: demand = 5 units ; price = Rs. 6. Find consumer’s surplus at price = Rs. 6The supply function for a product is Qs=2P - 14. while the demand function for the same product is Qd=P+12. Find the market equilibrium point.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 £ Number
- 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.)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)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 £…
- 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) Assuming that the marginal cost of production is given by MC=8. What will be the equilibrium output and price?If the demand function for a product is p = 9/(x + 1) and the supply function is p = 1 + 0.2x, find the consumer's surplus under pure competition. (Round your answer to the nearest cent.)In this problem, p is in dollars and q is the number of units. Suppose that the demand for a product is given by (p + 1) q + 9 = 810.