You are the manager of Taurus Technologies (Firm 1), and your sole competitor is Spyder Technologies (Firm 2). The two firms’ products are viewed as identical by most consumers. The relevant cost functions are C(Q1) = 120 + 8Q1 and C(Q2) = 120 + 12Q2, and the market demand curve for this unique product is given by P = 160 – 2.5Q. Given this information, the profits for firm 1 are = $__.
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You are the manager of Taurus Technologies (Firm 1), and your sole competitor is Spyder Technologies (Firm 2). The two firms’ products are viewed as identical by most consumers. The relevant cost functions are C(Q1) = 120 + 8Q1 and C(Q2) = 120 + 12Q2, and the market demand curve for this unique product is given by P = 160 – 2.5Q. Given this information, the profits for firm 1 are = $__.
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- You are the manager of Taurus Technologies, and your sole competitor is Spyder Technologies. The two firms’ products are viewed as identical by most consumers. The relevant cost functions are C(Qi) = 2Qi, and the inverse market demand curve for this unique product is given by P = 110 −3 Q. Currently, you and your rival simultaneously (but independently) make production decisions, and the price you fetch for the product depends on the total amount produced by each firm. However, by making an unrecoverable fixed investment of $100, Taurus Technologies can bring its product to market before Spyder finalizes production plans. (Assume Taurus Technologies is the leader in this scenario.) What are your profits if you do not make the investment? $ What are your profits if you do make the investment? Instructions: Do not include the investment of $100 as part of your profit calculation. $You are the manager of Taurus Technologies, and your sole competitor is Spyder Technologies. The two firms’ products are viewed as identical by most consumers. The relevant cost functions are C(Qi) = 2Qi, and the inverse market demand curve for this unique product is given by P = 410 −2 Q. Currently, you and your rival simultaneously (but independently) make production decisions, and the price you fetch for the product depends on the total amount produced by each firm. However, by making an unrecoverable fixed investment of $1,000, Taurus Technologies can bring its product to market before Spyder finalizes production plans. (Assume Taurus Technologies is the leader in this scenario.)What are your profits if you do not make the investment? $What are your profits if you do make the investment?Instructions: Do not include the investment of $1,000 as part of your profit calculation. $.You are the manager of Taurus Technologies, and your sole competitor is Spyder Technologies. The two firms' products are viewed as identical by most consumers. The relevant cost functions are C(Q) = 4Q₁, and the inverse market demand curve for this unique product is given by P= 580 -3 Q. Currently, you and your rival simultaneously (but independently) make production decisions, and the price you fetch for the product depends on the total amount produced by each firm. However, by making an unrecoverable fixed investment of $1,000, Taurus Technologies can bring its product to market before Spyder finalizes production plans. (Assume Taurus Technologies is the leader in this scenario.) What are your profits if you do not make the investment? $13762,56 What are your profits if you do make the investment? Instructions: Do not include the investment of $1,000 as part of your profit calculation. $ Should you invest the $1,000? No - the benefits of establishing the first-mover advantage exceed…
- You are the manager of Taurus Technologies, and your sole competitor is Spyder Technologies. The two firms’ products are viewed as identical by most consumers. The relevant cost functions are C(Qi) = 4Qi, and the inverse market demand curve for this unique product is given by P = 160 – 2Q. Currently, you and your rival simultaneously (but independently) make production decisions, and the price you fetch for the product depends on the total amount produced by each firm. However, by making an unrecoverable fixed investment of $200, Taurus Technologies can bring its product to market before Spyder finalizes production plans. Should you invest the $200? Explain.You are the manager of Taurus Technologies, and your sole competitor is Spyder Technologies. The two firms' products are viewed as identical by most consumers. The relevant cost functions are C(Q) = 4Q;, and the inverse market demand curve for this unique product is given by P= 100 -2 Q. Currently, you and your rival simultaneously (but independently) make production decisions, and the price you fetch for the product depends on the total amount produced by each firm. However, by making an unrecoverable fixed investment of $200, Taurus Technologies can bring its product to market before Spyder finalizes production plans. (Assume Taurus Technologies is the leader in this scenario.) What are your profits if you do not make the investment? $ What are your profits if you do make the investment? Instructions: Do not include the investment of $200 as part of your profit calculation. $ Should you invest the $200? O Yes - the cost of establishing the first-mover advantage exceeds the benefits.…You are the manager of Taurus Technologies, and your sole competitor is Spyder Technologies. The two firms' products are viewed as identical by most consumers. The relevant cost functions are (Q) = 4Qj, and the inverse market demand curve for this unique product is given by P= 940 -3 Q. Currently, you and your rival simultaneously (but independently) make production decisions, and the price you fetch for the product depends on the total amount produced by each firm. However, by making an unrecoverable fixed investment of $2,000, Taurus Technologies can bring its product to market before Spyder finalizes production plans. (Assume Taurus Technologies is the leader in this scenario.) What are your profits if you do not make the investment? What are your profits if you do make the investment? Instructions: Do not include the investment of $2,000 as part of your profit calculation. $ %24
- V5. You are the manager of Taurus Technologies, and your sole competitor is Spider Technologies. The two firms' products are viewed as identical by most consumers. The relevant cost functions are C(Qi) = 2Qi, and the inverse market demand curve for this unique product is given by P =290 - 3Q. Currently, you and your rival simultaneously (but independently) make production decisions, and the price you fetch for the product depends on the total amount produced by each firm. However, by making an unrecoverable fixed investment of $500, Taurus Technologies can bring its product to market before Spyder finalizes production plans. (Assume Taurus Technologies is the leader in this scenario.) What are your profits if you do not make investment? What are your profits if you do make investment? Instructions: Do not include the investment of $500 as part of your profit calculation. Should you invest the $500? no or yesYou are the manager of Taurus Technologies (T), and your sole competitor is Spyder Technologies (S). The two firms’ products are viewed as identical by most consumers. The relevant cost functions are C(QT) = 120 + 8QT and C(QS) = 120 + 10QS, and the market demand curve for this unique product is given by P = 160 – 2.5Q. Instructions: Use no decimals. Use the average cost to calculate monopoly profits. Do not round if values are used to complete other calculations. Complete the following table. Q1 Q2 P Profits T Profits S Duopoly competition 854 CollusionYou are the manager of Taurus Technologies, and your sole competitor is Spyder Technologies. The two firms’ products are viewed as identical by consumers. The relevant total cost functions are C(Qi)=2(Qi)for each firm, and the inverse market demand curve for this unique product is given by P = 50 – Q, with Q the total quantity. Currently, you and your rival simultaneously (but independently) make production decisions. b. Suppose by making an unrecoverable fixed investment of $40, Taurus Technologies can bring its product to market before Spyder finalizes its production plans. If so, what is your quantity and profit? Should you make the investment of $40? a. What is the current optimal quantity and profit of Taurus Technologies?
- KOALA PLC manufactures a special type of computer chips and has 2 production plants located in Sydney and Melbourne. Both plants produce an identical product. The total cost functions for the 2 plants are given by: TC, = 10q, + 5q? for the Sydney plant TC2 = 10q2 + 2qž for the Melbourne plant Where q1,92 are the outputs of the Sydney and Melbourne plants respectively. Suppose the company is a monopolist and sells the computer chip at a price p given by the inverse demand function p = 124 – Q where Q = q1 + 92 i) ii) Write down the expression for the company's profit (n) as a function of q1,92 Determine the profit maximising levels of q1, 92 and making sure to check that the second order conditions for a maximum are satisfied. iii) What will be the price at the profit maximising levels of production?per pair You are the CEO of a company that advises clients on pricing strategies. Bilbo Baggins is a profit maximizing client who produces uniquely styled shoes and hires you for pricing advice. The graph shows the demand and marginal revenue (MR) curves faced by Bilbo's company for two different groups of consumers. Assume Bilbo can prevent the reselling of his shoes, faces constant marginal cost (MC) equal to $20/pair, can identify varying consumer groups, and has no fixed costs (so, MC ATC). Use the graph to answer the questions. = Price $100 90 80 70 60 50 40 B What price should Bilbo charge? He should charge the more elastic group $60/pair and the less elastic group $70/pair. 30 30 20 10 10 MR 2 Demand 2 He should shutdown in the short run because price is not greater than fixed costs. 0 100 200 300 40C He should price discriminate and produce where P = MC and charge $20/pair. He should produce where MR = MC and charge $70/pair.You are a self-employed accountant who owns Budget Tax Prep, which specializes in tax preparation services. There are many competitors in your industry who offer a similar service, but quality of service varies among competitors. Entry into this industry is relatively easy. Your company's daily demand curve and cost functions, including your own opportunity costs, are currently (with Q being number of tax returns processed per day): Demand: P(Q) = 100 - 4Q Total Fixed Costs: TFC = 60 Total Variable Costs: TVC(Q) = (8.5)Q2 Marginal Costs: MC(Q) = 17Q A. Find your company's profit maximizing output and price using any method you wish. B. Calculate the level of total profit or loss per period that would accrue to the firm under the output and price determined in (a). C. What might happen to your profits over time, given the characteristics of your market described above.