PS4.2 (a) What Optimal Level of Output (q*) will a Firm Produce given the following? MC(q) = 3 + 2q Price (P) = $9 MC → Marginal Cost q→ Quantity (b) What is a Firm's Producer Surplus assuming the following? Area of Triangle = 1/2* Base *Height (c) Will a Firm be Earning a Positive, Negative, or Zero Profit in the Short-Run given the following? AVC(q)= 3 + q FC = $3 AVC Average Variable Cost → FC Fixed Cost
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- 3. The industry producing and selling wooden pallets is comprised of 100 identical firms each of which has a short-run total cost function given by C's = 0.5g² + 10g + 5, where q is output of (standardized) wooden pallets per day. (a) What is the equation of the short-run supply curve for each firm? (b) What is the equation of the short-run supply curve for the market as a whole? 3Y6 Suppose that a market consists of 300 identical firms, all with the same cost curve: TC(4) = 0.1 + 150g?. The market demand is given by Qd(p) = 60 - p (a) What is the equilibrium price and quantity? (b) What quantity must each firm produce and sell at equilibrium? (c) Do firms make positive profits in the market equilibrium? (d) Calculate consumers' surplus, producers' surplus and total surplus.The figure depicts the demand curve of a firm producing cars, together with its marginal cost, average cost, and isoprofit curves. Based on the figure, which of the following statements is correct? Price, MC ($) 8,000 5,400 4,100 2,820 100 0 0 34 50 Quantity of cars, Q MC Isoprofit AC 100 O The consumer surplus in the profit-maximizing outcome is $105,300. The producer surplus in the Pareto efficient outcome is $133,960. O The deadweight loss in the profit-maximizing outcome is $20,640. O The firm's profit in the Pareto efficient outcome is $100,000.
- 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 $6.00 per pair. Buddies Production Costs Quantity MC ATC of Ear Buds ($) ($) 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 3.27|1.6.1 A company manufactures and sells x dellphones per week. The weekly price-demand and cost equations are given below. p= 400 - 0.5x and C(x) = 20,000 + 140x (A) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the maximum weekly revenue? The company should produce (Round to the nearest cent as needed.) phones each week at a price of $ The maximum weekly revenue is $ (Round to the nearest cent as needed.) (B) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit? What is the maximum weekly profit? The company should produce (Round to the nearest cent as needed.) phones each week at a price of $ The maximum weekly profit is $ (Round to the nearest cent as needed.)Two farmers produce milk for local town with local milk demand given by Q=100-1/3P (P denotes price measured in Rands, Q denotes the quantity measured in litres). Both farmers have the same cost function given by TC=150+2q (where q denotes output)a. What output should farmer 1 produce if he or she expects their rival to produce 20 units?
- 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 $6.00 per pair. Buddies Production Costs Quantity MC ATC of Ear Buds ($) ($) 25 2.20 30 2.02 2.17 35 2.45 2.21 40 3.57 2.38 45 4.00 2.56 50 5.46 2.85 55 5.93 3.13 60 8.53 3.58 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? pairs b. At the profit-maximizing quantity, what is the total cost of producing ear buds?The graph below depicts the cost structure for a firm in a competitive market. Use the graph to answer the following questions. Figure 14-2 Price PPPP Q₁Q₂ MC AVC ATC Quantity Refer to Figure 14-2. When price rises from P ₂ to P 3, the firm finds that All of the above are correct. marginal cost exceeds marginal revenue at a production level of Q₂. it earns normal or zero profit. O if it produces at output level Q3 it will earn a positive profit.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)
- A firm faces the following average revenue (demand) curve:P = 120 − 0.02Qwhere Q is weekly production and P is price, measured in cents per unit. The firm’s costfunction is given by C = 60Q + 25,000. Assume that the firm maximizes profits.i. What is the level of production, price, and total profit per week?ii. If the government decides to levy a tax of 14 cents per unit on this product, what will be thenew level of production, price, and profit?b. The United States currently imports all of its coffee. The annual demand for coffee by U.S.consumers is given by the demand curve Q = 250 – 10P, where Q is quantity (in millions ofpounds) and P is the market price per pound of coffee. World producers can harvest and shipcoffee to U.S. distributors at a constant marginal (= average) cost of $8 per pound. U.S.distributors can in turn distribute coffee for a constant $2 per pound. The U.S. coffee market iscompetitive. Congress is considering a tariff on coffee imports of $2 per pound.i. If there…Consider a competitive market where there are two types of firms, Type A and Type B, with total cost functions TC^(q) =1+2q + q² TC (g) = 6+2q + 3q? (a) Derive the short-run supply curve for each firm type (b) What is the short-run market supply, if there are 10 Type A firms, and 6 Type B firms? (c) What is total quantity produced when p=5? (d) How does your answer at (c) change if we consider long run supply rather than short run? Here, assume again that p=5 and that there are 10 Type A firms and 6 Type B firms.On the graph input tool, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 6, 12, 15, 18, 24, and 30 units of output. Calculate the total revenue for each of these production levels. Then, on the following graph, use the green points (triangle symbol) to plot the results. Calculate the total revenue if the firm produces 6 versus 5 units. Then, calculate the marginal revenue of the sixth unit produced. The marginal revenue of the sixth unit produced is________. Calculate the total revenue if the firm produces 12 versus 11 units. Then, calculate the marginal revenue of the 12th unit produced. The marginal revenue of the 12th unit produced is_________.