1. Consider a two-product firm under pure competition. With pure competition, the prices of both commodities will be taken as exogenous, denoted by P₁ and P₂. The production cost is C (Q1, Q2) = Q1+3Q²/ where Q₁ and Q₂ represent the output levels of product 1 and product 2. (e) Find the maximum proifit that this firm can earn as a function of P₁ and P₂.
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![1. Consider a two-product firm under pure competition. With pure competition, the
prices of both commodities will be taken as exogenous, denoted by P₁ and P₂. The
production cost is
C (Q₁, Q2) = Q +3Q/²2
where Q₁ and Q₂ represent the output levels of product 1 and product 2.
(e)
Find the maximum proifit that this firm can earn as a function of P₁ and P₂.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6274a625-9a74-4008-b392-f1961eea52c4%2F728dc111-446f-4851-bf23-131219ef067d%2Fz0xhj4_processed.jpeg&w=3840&q=75)
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- The figure deplcts the demand curve for Beautiful Cars, and the marginal cost and Isoprofit curves of the car manufacturer. The quantity and price at polnt E are (Q*. P*) - (30, 5,500). Suppose now that the firm Increases the price to 5,550 and chooses the corresponding level of output from the demand function at the new price. Based on this Information, whlch of the following Is correct? 8,000 Demand curve 100 Quantity of cars, O O The firm will sell 30 cars at the higher price. O The firm's profit remains the same. O The quantity of cars produced reduced. O Tho firm's profit is now incroasod Price, Marginal cost ($)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…The table below shows the weekly marginal cost (MC) and average total cost (ATC) for Buddies, a perfectly competitive firm that produces novelty ear buds in a competitive market. The market price of ear buds is $6.00 per pair. Buddies Production Costs Quantity MC ATC of Ear Buds ($) ($) 10 3.5 15 3 20 2.44 2.86 25 3.56 3 30 4.02 3.17 35 5.48 3.5 40 5.98 3.81 45 8.49 4.33 Instructions: In part a, enter your answer as the closest given whole imber. a. If Buddies wants to maximize its profits, how many pairs of ear buds should it produce? pairs Instructions: In parts b-d, round your answers to 2 decimal places. b. At the profit-maximizing quantity, what is the total cost of producing ear buds? $ c. If the market price for ear buds is $6 per pair, and Buddies produces the profit-maximizing quantity of ear buds, what is Buddies weekly profit? 2$
- A firm's unit cost of production is £15 per oulput good. Let P be the unit price of the output good and Q be the total output level. Which of the following statements is correct? Select one answer. O Point (Q, P) = (2,000, 20) is on the isoprofil curve representing the profit lovel £20,000. O Point (Q, P) = (2,000, 20) is on a lower isoprofit curve than point (Q, P) = (1,200, 25). O Points (Q, P) = (2,000, 20) and (4,000, 16) are on the samo isoprofit curve. O Point (Q, P) = (5,000, 15) is not on any isoprofit curve.Consider a competitive firm with total costs given by T C(q) = 100 + 10q + q^2. The firm faces a market price p = 50. (a) Graph the AT C, AV C, MC, and MR curves in a single graph, and indicate the profit maximizing level of output. If there are profits, shade the region corresponding to profit and label it. (b) If fixed costs increase from 100 to 500, what happens to the profit maximizing level of output, T R, T C, and π? (c) If fixed costs increase from 100 to 500, should the firm continue to operate in the short-run? What about the long-run?Road Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets,Bangladesh and Sri Lanka. Demand for Bicycles in thesetwo markets is given by the following Functions: Bangladesh Q1 = 12 – P1Sri Lanka Q2 = 8 – P2 Where Q1 and Q2 are respective quantities sold (in thousands) andP1 and P2 are the respective prices (in Pak. Rupees per unit) in the two markets. Total cost function is C = 5 + 2 (Q1+ Q2) Required. Determine the company’s total profit function. Also, (i) What are the profit maximizing levels of price and output for the two markets? (ii) Calculate the marginal revenues in each market.? 2. Now consider two cases: (i) Company is effectively able to price discriminate in the two markets. What will be the total profits? (ii) Suppose the company does not engage in price discrimination. By charging thesameprice in the two markets what are the profit…
- A firm has a linear demand function for its product. When the price of the product isSh.220, the quantity demanded is 40 units. When the price increases to Sh.240, thequantity demanded becomes 30 units. In addition, the firm’s marginal cost function isgiven by:MC = 40q – 2q2 + 2Fixed cost = Sh.5 millionWhere q = quantity demanded, MC = marginal cost (Sh. million)Evaluate the level of output that maximizes profits.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?2. You are the Southeastern Michigan regional manager at Coca-Cola, responsible forproduction and pricing in the Metro Detroit area. Your primary competitor is Pepsi. The marketresearch team at Coca-Cola is thinking about launching a new product, Orange Vanilla Coke, toboost the brand. The cost function to produce a 12-pack of 12 fl. oz. cans of Orange VanillaCoke is C(qcoke) = 0.25qcoke and the market research team has estimated inverse market demandfor a 12-pack of this new “pop” in Southeastern Michigan to be P = 10.25 – 0.00025Q. a. Assuming Pepsi decides not to produce a similar product, allowing Coca-Cola to maintainmonopoly power in the market for orange vanilla cola, what price and quantity will youchoose to maximize profit? How much profit does Coca-Cola earn?b. What price and quantity you would choose to maximize profit if Pepsi spies discover yourproduct before launch, allowing Pepsi to produce and launch an identical product at the sametime. For your answer, assume the cost…
- 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)he total revenue curve of a firm is R(q)=40q−12q and its average cost A(q)=130q−12.85q+20 +400q,where q is the firms output. i. Derive an expression C(q) for the firms total cost function. ii. Derive an expression Π(q) for the firms profit function. iii. Is the rate of change of profit increasing or decreasing when the ouput level of the firm is 10 units? iv. Determine the level of output for which the firms profit is maximized. v. What is the firmss maximum profit?Yann's bakery operates in a perfectily competitive market where the prevailing price for a baguette (his only product) is $3. If Yann's marginal cost function is given by MC 0. 19 () Yann's profit-maximizing level of output is 0 (1) Yann's variable profit is 0 (H) The producer surplus is 0 If Yann also has a fixed cost of $50, then: (Iv) his total profit is Assuming Yann cannot avoid the fixed cost, Yann should 0
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