The following relations describe monthly demand and supply for a wheat Qp = 32 - 4 Qs = ÷P- 16 where P is the price (in cents) per pound and Q is the quantity (in millions) of pounds. (a) What is the equilibrium price and output level? Suppose that wheat industry is a perfectly competitive industry consisting of a large number of identical irms. For a typical firm, the cost function is TC = 100 + 1000q². (b) Identify the marginal revenue of a typical firm in the industry. (c) Find the profit maximizing level of output produced by a firm. (d) If all firms are profit maximizing, then how many firms can operate in this industry?
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- Suppose that each firm in a competitive industry has the following identical costs: Total cost: TC = 25+0.25Q2,where Q is an individual firm’s quantity produced. The market demand curve for this product is as follow: Demand: P=60-0.095Q,where P is the price and Q is the total quantity of the good. Currently. (i) Identify each firm’s fixed cost, variable cost, and its marginal cost. (ii) Suppose that there are 10 firms in the market. Construct the market supply function in the short run. Determine the equilibrium price and quantity. (Hint: If each firm’s supply function is Qi= a+bP then the market supply Qm can be the aggregated supply at each price as Qm = Q1+Q2+Q3+...+Qi where Qi is each firm’s supply function.) (iii) Calculate each firm’s production quantity and profit (or loss) in the short run. Predict whether a firm will decide to leave or stay in the market as well as the long-run market equilibrium with free entry and exit.Suppose that each firm in a competitive industry has the following identical costs:Total cost: TC = 25+0.25Q2,where Q is an individual firm’s quantity produced.The market demand curve for this product is as follow:Demand: P=60-0.095Q,where P is the price and Q is the total quantity of the good. Currently. (i) Identify each firm’s fixed cost, variable cost, and its marginal cost.(ii) Suppose that there are 10 firms in the market. Construct the market supply function in the short run. Determine the equilibrium price and quantity. (Hint: If each firm’s supply function is Qi= a+bP then the market supply Qm can be the aggregated supply at each price as Qm = Q1+Q2+Q3+...+Qi where Qi is each firm’s supply function.)1. Consider the perfectly competitive market for guitar tuners. The mar- ket price for a guitar tuner is $20 and the cost functions are: TC (q) = .01q² + .2q + 4950 %3D MC (q) = .02g +.2 (a) Find the profit-maximizing quantity of guitar tuners produced by a firm in this market. (b) Calculate the profit each firm will earn in this market (c) Graphically depict the firm's profit-maximization problem. (note: this doesn't need to be to scale but should accurately reflect the sign of the profit) (d) Will firms enter into this market in the long run? (e) Graphically show how the price will change as the market pro- gresses towards a long-run equilibrium. (There's no need to find the exact long-run equilibrium price. Just follow similar steps to what we did in class)
- The coffee industry is comprised of many firms producing an identical product. Market demand and supply conditions are indicated in the left-hand panel of the figure below; the long-run cost curves of a representative coffee farmer are shown in the right-hand Currently, the market price for coffee is $2 per pound, and at that price consumers are purchasing 800,000 pounds of coffee per day. Using the graphs shown in the images find:a. How many pounds of coffee will each farmer produce if they want to maximize profits?b. How many farmers are currently serving the industry (fractional numbers are fine)?c. In the long run, what will the equilibrium price of coffee be? Briefly explain your answer.Suppose that each firm in a competitive industry has the following as the Total cost: TC=50+ ½q2 Where q is an individual firm’s quantity produced. The market demand curve for this product is Demand: Q = 120 – P Where P is the price and Q is the total quantity of the good. Currently, there are 9 firms in the market What is each firm’s fixed cost? What is its variable cost? At what quantity efficiency of scale would be achieved? Give the equation for each firm’s supply curve Give the equation for the market supply curve for the short run What is the equilibrium price and quantity for this market in the short run? In this equilibrium, how much does each firm produce? Is there incentive for firms to enter or exit? In the long run with free entry and exit, what is the equilibrium price and quantity in this market? In the long-run equilibrium, how many firms are in the market? I want the subparts 4,5,6 to be solved. Thank youSuppose that each firm in a competitive industry has the following as the Total cost: TC=50+ ½q2 Where q is an individual firm’s quantity produced. The market demand curve for this product is Demand: Q = 120 – P Where P is the price and Q is the total quantity of the good. Currently, there are 9 firms in the market What is each firm’s fixed cost? What is its variable cost? At what quantity efficiency of scale would be achieved? Give the equation for each firm’s supply curve Give the equation for the market supply curve for the short run What is the equilibrium price and quantity for this market in the short run? In this equilibrium, how much does each firm produce? Is there incentive for firms to enter or exit? In the long run with free entry and exit, what is the equilibrium price and quantity in this market? In the long-run equilibrium, how many firms are in the market?
- Suppose there are only two firms in a competitive market for a good. Firm 1's marginal cost curve is given by MC = 2.5 +0.5Q and the equation of 4+Q³. What is the equation of the - firm 2's marginal cost curve is MC supply function for this market? - a) MC = 6.5 +1.5Q⁹ b) MC = 0.33Q⁹ +3 c) Q³ = 3p - 9 d) P = 6.5 +1.5QsThe table below shows the weekly marginal cost (MC) and average total cost (ATC) for Buddies, a purely competitive firm that produces novelty ear buds. Assume the market for novelty ear buds is a competitive market and that the price of ear buds is $6.00 per pair. Buddies Production Costs Quantity MC ATC of Ear Buds ($) ($) 20 1.00 25 2.00 1.20 30 2.46 1.41 35 3.51 1.71 40 4.11 2.01 45 5.43 2.39 50 5.99 2.75 55 8.47 3.27A perfectly competitive industry is in long-run equilibrium. Each of the identical firms has a long- run cost function C = 100 + q². As a result, a firm's marginal cost function is MC = 2q. In the long-run competitive equilibrium, (a) How much does the firm produce? (b) What is the equilibrium price? (c) If the market quantity demanded at the equilibrium price is Q = 2500, how many firms are in the market?
- The table below shows the weekly marginal cost (MC) and average total cost (ATC) for Buddies, a purely competitive firm that produces novelty ear buds. Assume the market for novelty ear buds is a competitive market and that the price of ear buds is $6.00 per pair. Buddies Production Costs MC ($) Quantity of Ear Buds 5 10 15 20 25 30 35 40 2.00 2.45 3.55 4.00 5.50 5.98 8.52 pairs ATC ($) 2.00 2.00 2.15 2.50 2.80 3.25 3.64 4.25 Check my work Instructions: In part a, enter your answer as the closest given whole number. In parts b-d, round your answers to two decimal places. a. If Buddies wants to maximize profits, how many pairs of ear buds should it produce each week? b. At the profit-maximizing quantity, what is the total cost of producing ear buds? c. If the market price for ear buds is $6 per pair, and Buddies produces the profit-maximizing quantity of ear buds, what will Buddies profit or loss be per week? d. Now assume the market price is $5.50 per pair, and Buddies produces the…Suppose that the market for air fresheners is a perfectly competitive market. The following graph shows the daily cost curves of a firm operating in this market. (? 40 36 Profit or Loss 32 28 24 АТС 16 12 AVC MC 4 4 8 12 16 20 24 28 32 36 40 QUANTITY OF OUTPUT (Air fresheners) PRICE AND COST (Dollars per air freshener) 202. Suppose the production function of a firm is given by f (x₁, x2) = 2x₁ +4x2. (a) Calculate the conditional demand functions of the firm assuming w₁ = 2, W₂ = 3, and y = 8. (b) Calculate the minimum cost of the firm to produce 8 units of the good when w₁ = 2 and w2 = 3.