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- ASK YOUR TEACHER The function gives the weekly profit, in thousand dollars, that an airine makes on its fights from Boston to Washington DC when the ticket price spelers 2nterpret the f () (60)-S When the ticket price is s (b) (60)-4.5 When the ticket price is s () (90)--2 [SA When the ticket price is s the weekly profit to the airline on fights from Boston to Washington is s MY NOTES the weekdy profit to the airtine on fights from Boston to Washington is by the weekly profit to the airine on fights from Bestion to Washington bedbyA company manufacturing laundry sinks has fixed costs of $100 per day but has totalcosts of $2,500 per day when producing 15 sinks. The company has a daily demand functionof q = 360 − p, where q is the number if laundry sinks demanded and p is te price ofa laundry sink. ) If production increases continuously, what is likely to be the average cost per sink? How many laundry sinks will the company need to produce in order to maximise it′s profits? What is the maximum profit?The marginal and average total cost curves for barbers in an area are cosntant at $12.00/haircut. The daily demand curve for haircuts in the area is given by: P = 22 - 0.001Qd where P is the price in dollars per haircut and Qd is the daily quantity demanded in number of haircuts. Haircuts are provided in a perfectly competitive market and each barber can provide exactly 25 haircuts daily. Suppose that the government decides to limit the number of barbers to 320. Each year, barbers must obtain a government-issued license to cut hair. Based upon the previous information: a. What will be the long-run equilibrium price for a haircut given there are only 320 licensed barbers?b. How much economic profit will each licensed barber earn daily?
- 1. Suppose that the output sells for $5 and the input sells for $4. Fill in the blanks in the following table. |X input Y output VMP AVP 10 50 25 75 40 80 50 85 2. Suppose that the production function is given by y = 2x0.5 The price of x is $3 and the price of y is $4. Derive the corresponding VMP and AVP functions. What is MFC? Solve for the profit-maximizing level for input use x.100 90 80 70 60 ATC 50 40 30 20 AVC МС О 10 + 0 0 5 10 15 20 30 35 40 45 50 QUANTITY (Thousands of shirts) or each price in the following table, use the graph to determine the number of shirts this firm would produce in order to maximize its profit. Assume hat when the price is exactly equal to the average variable cost, the firm is indifferent between producing zero shirts and the profit-maximizing uantity. Also, indicate whether the firm will produce, shut down, or be indifferent between the two in the short run. Lastly, determine whether it will nake a profit, suffer a loss, or break even at each price. Price Quantity (Dollars per shirt) (Shirts) Profit or Loss? Produce or Shut Down? Shut down 10 20,000 Loss Shut down 20 10,000 Loss Shut down 32 5,000 Loss Either 0 or 37,500 Shut down 40 Loss 25 COSTS (Dollars)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 you
- 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?A firm has production function f(X1,X2)=X1^(1/4) X2^(1/4). The prices of the inputs wland w2.` 1.Find the firm's demand for inputs (as a function of output and the input prices) 2. Find the cost function of the firm. 3. For w1= 1 and w2= 1, find the firm's supply function.Suppose that a firm can not give up one input in an exchange for the other and still maintain the same level of output. Calculate the elasticity of substitution in this case and elaborate on your answer.
- A textile firm in a competitive industry employs a particularly efficient manager torun the operations at its production facility. In the textile industry, a plant managertypically makes a salary of $4,500 per month. The textile firm employing thesuperior manager faces the LAC and LMC curves shown in the figure below. Inlong-run competitive equilibrium, the price of the product is $9 A- typical textile firm in this competitive industry has a minimum long-runaverage cost of $______. The typical textile firm earns economic profit of$______ B-The textile firm with the superior plant manager could earn economic profitof $___________ per month, if no rent is paid to the superior manager C-The superior plant manager is likely to earn a salary of $______ per month,$____________ of which is economic rent1. Let a firm’s cost function be c(y1, y2) = F + αy1y2 + y21 + y22, where α is some constant.a) What restriction on α is required to guarantee that this cost function exhibits economies ofscope?b) What restriction on α is required to guarantee that this cost function exhibits cost complementarities in both goods? Note that you’ll need to verify cost complementarities for y1 andy2.2. Given the industry demand function X(p) = 100 − 2p, consider the following scenarios:• The market is a perfectly competitive market. Assume there are identical firms with marginalcost of 12 in this perfectly competitive market.• The market is dominated by one monopolist with a marginal cost of 12. This monopolist isable to achieve 1st degree pricing.• The market is dominated by one monopolist with a marginal cost of 12, but the monopolistis able to achieve only 2nd degree pricing. Assume the menu offers only 2 choices:(Q∗1 = 30, p∗1 = 35), and (Q∗2 = 60, p∗2 = 20).• The market is dominated by one monopolist…. An electricity producer has a constant marginal cost of production equal to $40 per megawatt. The residual demand for its electricity is given by P (q) = a−bq, where P is the price and q is the quantity of power generated by this producer. The producer knows the slope, b, but he vertical intercept of the residual demand curve, a is unknown. Assume A and B are greater than zero. If you get stuck, you may answer any of the following questions for special case where a = 80 And b = 0.5 for partial credit. (a) What is the marginal revenue, M R(q), for this producer? b) What is the optimal q for this producer? (c) What is the electricity producer’s optimal price? (d) What is the electricity producer’s optimal bid in a uniform price Auction? e) Suppose b is equal to zero. Would the producer have an incentive to submit a bid above its marginal cost? Explain.
